Sin 75 degrees in fraction

Dec 7, 2020 · This video works to determine the exact value for the sine of 75 degrees in two different ways: using the sum formula for sine and using the half-angle ident...

Find the Exact Value sin(15 degrees ) Step 1. Split into two angles where the values of the six trigonometric functions are known. Step 2. Separate negation. Step 3. Apply the difference of angles identity. Step 4. The exact value of is . Step 5. The exact value of is . Step 6. The exact value of is . Step 7. The exact value of is . Exact Form: √2+√6 4 2 + 6 4. Decimal Form: 0.96592582… 0.96592582 … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Find the Exact Value sin (135 degrees ) sin(135°) sin ( 135 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(45) sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form: √2 2 2 2.Trigonometry. Find the Exact Value sin (165) sin(165) sin ( 165) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation.sin(225°) sin ( 225 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(45) - sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. − √2 2 - 2 2. The result can be shown in multiple forms.

Find exact value of sin (105) Ans: (sqrt(2 + sqrt3)/2) sin (105) = sin (15 + 90) = cos 15. First find (cos 15). Call cos 15 = cos x Apply the trig identity: cos 2x = 2cos^2 x - 1. cos 2x = cos (30) = sqrt3/2 = 2cos^2 x - 1 2cos^2 x = 1 + sqrt3/2 = (2 + sqrt3)/2 cos^2 x = (2 + sqrt3)/4 cos x = cos 15 = (sqrt(2 + sqrt3)/2. (since cos 15 is positive) sin (105) = cos …The value of sin 195 degrees can be calculated by constructing an angle of 195° with the x-axis, and then finding the coordinates of the corresponding point (-0.9659, -0.2588) on the unit circle. The value of sin 195° is equal to the y-coordinate (-0.2588). ∴ sin 195° = -0.2588. Download FREE Study Materials.Setting grand goals can feel great in the moment, but you're probably setting yourself up for failure. Research on New Year’s resolutions shows that 80% of them fail in the longter...Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepTo find the value of sin 60 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 60° angle with the positive x-axis. The sin of 60 degrees equals the y-coordinate (0.866) of the point of intersection (0.5, 0.866) of unit circle and r. Hence the value of sin 60° = y = 0.866 (approx)Answer: sin (120°) = 0.8660254038. sin (120°) is exactly: √3/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 120 degrees - sin (120 °) - or the sine of any angle in degrees and in radians.degrees/360 = fraction. 75/360 = 5/24. 75 degrees = 5/24. Below is an illustration showing you what 75 degrees and 5/24 of a circle looks like. To create the illustration above showing you 75 degrees, we first drew a circle and then drew two lines from the center, separated by 75 degrees. The slice that the two lines create inside the circle is ...Answer: sin (60°) = 0.8660254038. sin (60°) is exactly: √3/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 60 degrees - sin (60 °) - or the sine of any angle in degrees and in radians.

The Casio FX-260 is a solar-powered calculator suitable for general calculations. It does not require batteries, and comes with a slide-on hard case to protect the front keypad and...sin 75. Natural Language; Math Input ... Assuming trigonometric arguments in degrees | Use radians instead. Input. Exact result. Decimal approximation. More digits; Reference … It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Answer: sin (45°) = 0.7071067812. sin (45°) is exactly: √2/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 45 degrees - sin (45 °) - or the sine of any angle in degrees and in radians.

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Expand the value of tan 75 0 in some standard angles. tan 75 0 = tan 45 0 + 30 0 Expand the above expression using identity tan A + B = tan A + tan B 1 - tan A tan B .Sin 75° in fraction: (√6 + √2)/4. Sin (-75 degrees): -0.9659258. . . Sin 75° in radians: sin (5π/12) or sin (1.3089969 . . .) What is the Value of Sin 75 Degrees? The value of sin 75 degrees in decimal is 0.965925826. . .. Sin 75 degrees can also be expressed using the equivalent of the given angle (75 degrees) in radians (1.30899 . . .).sin(75) Natural Language; Math Input; Extended Keyboard Examples ... Assuming trigonometric arguments in degrees | Use radians ... POWERED BY THE WOLFRAM …The hypothenuse AC can easily be calculated now: AC = √BC2 +AB2 = √12 +12 = √2. The sine is defined as the ratio between the opposed side and the hypothenuse. Therefore, sin45o = 1 √2 = √2 2. In decimal form, it is roughly 0.7071067812. Answer link. sin45^@=sqrt (2)/2 This is a common value, in which sin45^@=1/sqrt2.Precalculus. Find the Exact Value sin (67.5) sin(67.5) sin ( 67.5) Rewrite 67.5 67.5 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(135 2) sin ( 135 2) Apply the sine half - angle identity. ±√ 1−cos(135) 2 ± 1 - cos ( 135) 2. Change the ± ± to + + because sine is positive in the first quadrant.

In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. We know by formulas that sin(A+B) = sinA.cosB+sinB.cosAAnswer: sin (120°) = 0.8660254038. sin (120°) is exactly: √3/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 120 degrees - sin (120 °) - or the sine of any angle in degrees and in radians.Sine and cosine are the fundamental trigonometric functions arising from the previous diagram:. The sine of theta (sin θ) is the hypotenuse's vertical projection (green line); andThe cosine of theta (cos θ) is the hypotenuse's horizontal projection (blue line).We can rotate the radial line through the four quadrants and obtain the values of the trig …sin80° = 0.98481. sin 80° = 0.98481. sin 80 degrees = 0.98481. The sin of 80 degrees is 0.98481, the same as sin of 80 degrees in radians. To obtain 80 degrees in radian multiply 80° by π / 180° = 4/9 π. Sin 80degrees = sin (4/9 × π). Our results of sin80° have been rounded to five decimal places.The value of sin75° is (√3 + 1)/ (2√2). This value represents the ratio of the length of the side opposite the angle of 75 degrees to the length of the hypotenuse in a right triangle. Sin75° is an important trigonometric value that has applications in various fields, including mathematics, physics, and engineering.Sin 90 degrees is equal to one. This degree value can also be expressed in radians as sin(?/2) = 1. This value of the sine function corresponds to one-fourth of the complete arc di...Value of sin 15 degrees can be created with the use of trigonometric functions.The word trigonometry comes from the Greek words trigonon (“triangle”) and metron (“to measure”).. The value of sin 15 degrees can be represented in terms of fractions form.; Trigonometry is the branch of mathematics with specific functions of …For sin 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 15° value = (√6 - √2)/4 or 0.2588190. . . Since the sine function is a periodic function, we can represent sin 15° as, sin 15 degrees = sin (15° + n × 360°), n ∈ Z. ⇒ sin 15° = sin 375 ...Roman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees ... \sin (75)\cos (15) \sin (120 ...17 best hotels in Las Vegas, from large casinos to iconic residences. With more than 150,000 hotel rooms, Las Vegas is home to many top-notch hotel choices. Whether you’re after a ... Find the Exact Value sin (135 degrees ) sin(135°) sin ( 135 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(45) sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form: √2 2 2 2. cos (75°) = 0.2588190451. cos (75°) is exactly: (√2/4) (√3 - 1) Note: angle unit is set to degrees. Use our cos (x) calculator to find the cosine of 75 degrees - cos (75 °) - or the cosine of any angle in degrees and in radians.

The value of sin75° is (√3 + 1)/ (2√2). This value represents the ratio of the length of the side opposite the angle of 75 degrees to the length of the hypotenuse in a right triangle. Sin75° is an important trigonometric value that has applications in various fields, including mathematics, physics, and engineering.

A radian is a unit of measurement for angles. It measures the size of an angle as the ratio of the length of the arc cut out by the angle on a circle, to the radius of the circle. One radian is approximately equal to 57.3 degrees.Order of Operations Factors & Primes Fractions Long Arithmetic Decimals ... Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians ... \sin (75)\cos ...To find the value of sin 35 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 35° angle with the positive x-axis. The sin of 35 degrees equals the y-coordinate (0.5736) of the point of intersection (0.8192, 0.5736) of unit circle and r. Hence the value of sin 35° = y = 0.5736 (approx)My Delano Las Vegas review goes over all of the ins and outs of one of the most underrated properties in sin city. A great Amex FHR option. Increased Offer! Hilton No Annual Fee 70...Step 1: Plug the angle value, in degrees, in the formula above: radian measure = (75 × π)/180. Step 2: Rearrange the terms: radian measure = π × 75/180. Step 3: Reduce or simplify the fraction of π if necessary. Calculating the gcd of 75 and 180 [gcd(75,180)], we've found that it equals 15.sin65° = 0.90631. sin 65° = 0.90631. sin 65 degrees = 0.90631. The sin of 65 degrees is 0.90631, the same as sin of 65 degrees in radians. To obtain 65 degrees in radian multiply 65° by π / 180° = 13/36 π. Sin 65degrees = sin (13/36 × π). Our results of sin65° have been rounded to five decimal places. If you want sine 65° with higher ...Question 38935: find the exact value of sin 75 degrees. Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website! sin 75 = sin45cos30 + sin30cos45 sin 75 = (sqrt(6) + sqrt(2)) / 4 ...report flag outlined. Explanation: in74° = 0.96126. sin 74° = 0.96126. sin 74 degrees = 0.96126. The sin of 74 degrees is 0.96126, the same as sin of 74 degrees in radians. To obtain 74 degrees in radian multiply 74° by π / 180° = 37/90 π. Sin 74degrees = sin (37/90 × π). Our results of sin74° have been rounded to five decimal places.What is the maximum value of a sin θ + b cos θ Q. Jack wants to equally distribute $4561 among 9 of his employees. The given image shows the steps followed by Jack to calculate the share of each employee.

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Order of Operations Factors & Primes Fractions Long Arithmetic Decimals ... Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians ... \sin (75)\cos ...Trigonometry. Find the Exact Value sin (165) sin(165) sin ( 165) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation. Trigonometry. Find the Exact Value sin (195) sin(195) sin ( 195) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(15) - sin ( 15) Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-stepSin 75 Degrees. If you want to know what is sin 75 degrees in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of sin 75°: sin75° = (√6+√2)/4. sin 75° = (√6+√2)/4. sin 75 degrees = (√6+√2)/4. The sin of 75 degrees is (√6+√2)/4, the same as sin ...Trigonometry. Find the Exact Value sin (22.5 degrees ) sin(22.5°) sin ( 22.5 °) Rewrite 22.5° 22.5 ° as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(45 2) sin ( 45 2) Apply the sine half - angle identity. ±√ 1−cos(45) 2 ± 1 - cos ( 45) 2. Change the ± ± to + + because sine is positive in ...Answer: sin (120°) = 0.8660254038. sin (120°) is exactly: √3/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 120 degrees - sin (120 °) - or the sine of any angle in degrees and in radians. Use the known values of sine and cosine for 45 degrees and 30 degrees to evaluate the expression: sin (75 ∘) = 2 √ 2 ⋅ 2 √ 3 + 2 √ 2 ⋅ 2 1 Simplify the expression: sin (75 ∘) = 4 √ 6 + √ 2 Therefore, the sine of 75 degrees is approximately 0.9659258263, as calculated using a calculator, or 4 √ 6 + √ 2 , as obtained using ... In this video, we are going to find the value of the sine of 75 degrees. Here, I have applied the identity sin(A + B) or sin(x + y).#sineof75 #sin75You can e... ….

Medicine Matters Sharing successes, challenges and daily happenings in the Department of Medicine ARTICLE: Cellular and molecular pathobiology of heart failure with preserved eject...Free math problem solver answers your trigonometry homework questions with step-by-step explanations.If the angle is unknown, but the lengths of the opposite and adjacent side in a right-angled triangle are known, then the tangent can be calculated from these two measurements. For example, if a = 15 and b = 20, then tan(α) = 15 / 20 = 0.75. Applications of the tangent functionJan 12, 2016 ... Exact Value of sin(75). The Math Sorcerer•16K ... Finding the exact value for sine of 15 degrees using the half angle formula ... Evaluate the half ...tangent at sin(x) at x = 75; addition formula sinx; identities for trigonometric functions; continued fraction expansions for piThe value of sin θ is positive when θ lies between 0 and 90 degrees. Therefore, x = sin θ = sin 18° = (-1 + √5)/4. Or. sin 18° = (√5 – 1)/4. Sin 18 Degrees in Fraction. The value of sin 18 degrees can be expressed in terms of a fraction as given below: sin 18° = (√5 – 1)/4 = (2.23606798… – 1)/4 = 1.23606798…/4 = 0.309016995…sin 37° = 0.60182. sin 37 degrees = 0.60182. The sin of 37 degrees is 0.60182, the same as sin of 37 degrees in radians. To obtain 37 degrees in radian multiply 37° by π / 180° = 37/180 π. Sin 37degrees = sin (37/180 × π). Our results of sin37° have been rounded to five decimal places. If you want sine 37° with higher accuracy, then ...Answer: sin (45°) = 0.7071067812. sin (45°) is exactly: √2/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 45 degrees - sin (45 °) - or the sine of any angle in degrees and in radians. Sin 75 degrees in fraction, Formula for compound angles of sine, cosine and tangent trigonometric ratios are given as follows: We are supposed to find the value of sin 75°. 75 can also be written as 30 + 45. We will apply trigonometric ratios of compound angles. We know that sin 30° = $\dfrac {1} {2}$, cos 45° = sin 45° = $\dfrac {1} {\sqrt {2}}$ and cos 30 ..., $\begingroup$ Although, one may compute $\sin(1^\circ)$ in radical form by the triple angle formula and the radical form of $\sin(3^\circ)$, which may be found from $\sin(75^\circ-72^\circ)$. The trigonometric values in the expansion of the last expression (by sine of difference of angles) may be found geometrically. By invoking sum/difference …, Solution : The value of sin 75 degrees is 3 + 1 2 2. Proof : We will write sin 75 as sin (45 + 30). By using formula sin (A + B) = sin A cos B + cos A sin B,, Arcsine is an inverse of the sine function. In other words, it helps to find the angle of a triangle that has a known value of sine: arcsin (x) = y iff x = sin (y) As sine's codomain for real numbers is [−1, 1] , we can only calculate arcsine for numbers in that interval. This means that the domain of arcsin (for real results) is -1 ≤ x ≤ 1., For sin 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 15° value = (√6 - √2)/4 or 0.2588190. . . Since the sine function is a periodic function, we can represent sin 15° as, sin 15 degrees = sin (15° + n × 360°), n ∈ Z. ⇒ sin 15° = sin 375 ... , Find the value of tan 75 degrees? Get the answer to this question and access a vast question bank that is tailored for students. ... tan 75 0 = tan 45 0 + tan 30 0 1-tan 45 0 tan 30 0 = 1 + 1 3 1-1 3 = 3 + 1 3-1. Hence, ... Q. Find the value of sin 75 0. Q. Find the value of c o s 750. Q. Find the value of c o s e c 750 ..., Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ..., Looking to buy fractional shares to invest? Here are 8 options you can consider to get started. The College Investor Student Loans, Investing, Building Wealth Updated: November 18,..., Solution : The value of sin 75 degrees is 3 + 1 2 2. Proof : We will write sin 75 as sin (45 + 30). By using formula sin (A + B) = sin A cos B + cos A sin B,, Find the Exact Value sin(15 degrees ) Step 1. Split into two angles where the values of the six trigonometric functions are known. Step 2. Separate negation. Step 3. Apply the difference of angles identity. Step 4. The exact value of is . Step 5. The exact value of is . Step 6. The exact value of is . Step 7. The exact value of is ., Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75 of degrees can be easily find out using the trigonometric identities. Also there can be many ways to find out the values. Lets explore few ways, Sep 7, 2018 · In this video, we are going to find the value of the sine of 75 degrees. Here, I have applied the identity sin(A + B) or sin(x + y).#sineof75 #sin75You can e... , The value of sin 195 degrees can be calculated by constructing an angle of 195° with the x-axis, and then finding the coordinates of the corresponding point (-0.9659, -0.2588) on the unit circle. The value of sin 195° is equal to the y-coordinate (-0.2588). ∴ sin 195° = -0.2588. Download FREE Study Materials. , Find the Exact Value sin (135 degrees ) sin(135°) sin ( 135 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(45) sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form: √2 2 2 2. , Welcome to sin 75°, our post aboutthe sine of 75 degrees. For the sine of 75 degrees we use the abbreviation sin for the trigonometric function together with the degree symbol °, and write it as sin 75°. If you have been looking for what is sin 75°, or if you have been wondering about sin 75 degrees in radians, then you are right here, too., Trigonometry. Find the Exact Value sin (7.5) sin(7.5) sin ( 7.5) Rewrite 7.5 7.5 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(15 2) sin ( 15 2) Apply the sine half - angle identity. ±√ 1−cos(15) 2 ± 1 - cos ( 15) 2. Change the ± ± to + + because sine is positive in the first quadrant., Find the Exact Value sin(70 degrees ) Step 1. The result can be shown in multiple forms. Exact Form: Decimal Form: ..., Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor., Answer: sin (30°) = 0.5. sin (30°) is exactly: 1/2. Note: angle unit is set to degrees. Online sine calculator. Accepts values in radians and in degrees. Free online sine calculator. sin (x) calculator., 270° to 360° — fourth quadrant. In this case, 250° lies in the third quadrant. Choose the proper formula for calculating the reference angle: 0° to 90°: reference angle = angle, 90° to 180°: reference angle = 180° − angle, 180° to 270°: reference angle = angle − 180°, 270° to 360°: reference angle = 360° − angle., Join Teachoo Black. What is value of sin 18 Let θ = 18° 5θ = 5 × 18° = 90° 2θ + 3θ = 90° 2θ = 90° – 3θ sin 2θ = sin (90° – 3θ) sin 2θ = cos 3θ 2 sin θ cos θ = 4 cos3 θ – 3 cos θ 2 sin θ cos θ – 4 cos3 θ + 3 cos θ = 0 cos θ (2 sin θ – 4 cos2 θ + 3) = 0 2 sin θ – 4 cos2 θ + 3 = 0 2 sin θ – 4 (1 – sin2., To find the value of sin 60 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 60° angle with the positive x-axis. The sin of 60 degrees equals the y-coordinate (0.866) of the point of intersection (0.5, 0.866) of unit circle …, Answer: sin (30°) = 0.5. sin (30°) is exactly: 1/2. Note: angle unit is set to degrees. Online sine calculator. Accepts values in radians and in degrees. Free online sine calculator. sin (x) calculator., dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more., Precalculus. Find the Exact Value sin (67.5) sin(67.5) sin ( 67.5) Rewrite 67.5 67.5 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(135 2) sin ( 135 2) Apply the sine half - angle identity. ±√ 1−cos(135) 2 ± 1 - cos ( 135) 2. Change the ± ± to + + because sine is positive in the first quadrant., The sine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the ratio of the length of the opposite side to the longest side of the triangle. In the illustration below, sin(α) = a/c and sin(β) = b/c. From cos(α) = a/c follows that the sine of any angle is always less than or equal to ... , Medicine Matters Sharing successes, challenges and daily happenings in the Department of Medicine ARTICLE: Endomyocardial Biopsy Characterization of Heart Failure With Preserved Ej..., Read all about Singapore Changi Airport (SIN) here as TPG brings you all related news, deals, reviews and more. Singapore Changi Airport is one of the largest transportation hubs i..., a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees. secant. the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos (θ) sin. sin (θ) is the ratio of the opposite side of angle θ ..., Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent ... Roman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians Hexadecimal Scientific Notation Distance ... \sin (75)\cos …, a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees. secant. the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos (θ) sin. sin (θ) is the ratio of the opposite side of angle θ ..., To find the value of sin 60 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 60° angle with the positive x-axis. The sin of 60 degrees equals the y-coordinate (0.866) of the point of intersection (0.5, 0.866) of unit circle and r. Hence the value of sin 60° = y = 0.866 (approx), From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios. Therefore, the exact value of sin 60 degrees is √3/2. Cos 0° = Sin 90° = 1. Cos 30°= Sin 60° = √3/2. Cos 45° = Sin 45° = 1/√2. Cos 60° = Sin 30° =1/2.