Sin 75 degrees in fraction

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Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step Free math problem solver answers your trigonometry homework questions with step-by-step explanations. $\begingroup$ 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.\sin (x)+\sin (\frac{x}{2})=0,\:0\le \:x\le \:2\pi \cos (x)-\sin (x)=0 ; 3\tan ^3(A)-\tan (A)=0,\:A\in \:\left[0,\:360\right] \sin (75)\cos (15) \sin (120) \csc (-\frac{53\pi }{6}) prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)} Show MoreSep 11, 2023 · In this video we are converting a degree into a fraction. In this video the fractions are not being simplified in lowest term.DEGREE CONVERSION PLAYLISThttps... In this video we are converting a degree into a fraction. In this video the fractions are not being simplified in lowest term.DEGREE CONVERSION PLAYLISThttps...Lufthansa First Class was an incredible way to fly. Read our in-depth review of a flight from Frankfurt to Singapore onboard this incredible airline. We may be compensated when you... 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.

Calculating arctangent of a fraction. Oftentimes the tangent value will be given or calculated as a simple fraction, e.g. 3/4. While one can use a fraction to decimal converter to convert the fraction into a decimal, our arctangent calculator actually supports direct input of various fractions like 1/2, 1/3, 1/6, 3/4, 4/3, -2/3, and even 0.3/.5 . To compute arctan(3/4) or …Sine table. CalcItFast. Math Sine Calculator Sine Calculator. Trigonometric sine calculator. Sine rule. Sine table. Value. Angle Type ... Sine of 75.5 degrees Sine of 41 degrees Sine of 65 radians Sine of 59 degrees ...Explanation: For sin 25 degrees, the angle 25° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 25° value = 0.4226182. . . Since the sine function is a periodic function, we can represent sin 25° as, sin 25 degrees = sin (25° + n × 360°), n ∈ Z. ⇒ sin 25° = sin 385° = sin ... 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. Answer: sin (56°) = 0.8290375726. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 56 degrees - sin (56 °) - or the sine of any angle in degrees and in radians.Or you can say, the Sine of angle α is equal to the ratio of the opposite side (perpendicular) and hypotenuse of a right-angled triangle. The trigonometry ratios sine, cosine and tangent for an angle α are the primary functions. The value for sin 45 degrees and other trigonometry ratios for all the degrees 0°, 30°, 60°, 90°,180° are ...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.

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.The cosine 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 adjacent side to the hypotenuse. It is the complement to the sine. In the illustration below, cos (α) = b/c and cos (β) = a/c. Since cos (α) = b/c, from this definition it follows that the ...For sin 36 degrees, the angle 36° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 36° value = √ (10 - 2√5)/4 or 0.5877852. . . Since the sine function is a periodic function, we can represent sin 36° as, sin 36 degrees = sin (36° + n × 360°), n ∈ Z. ⇒ sin 36° = sin 396 ...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...

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Answer: sin (22°) = 0.3746065934. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 22 degrees - sin (22 °) - or the sine of any angle in degrees and in radians.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 ... 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 ... This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl...To find the value of sin 54 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 54° angle with the positive x-axis. The sin of 54 degrees equals the y-coordinate (0.809) of the point of intersection (0.5878, 0.809) of unit circle and …The sine formula is: sin (α) = opposite hypotenuse = a c. Thus, the sine of angle α in a right triangle is equal to the opposite side’s length divided by the hypotenuse. To find the ratio of sine, simply enter the length of the opposite and hypotenuse and simplify. For example, let’s calculate the sine of angle α in a triangle with the ...

Find the Exact Value sin(75 degrees ) Step 1. Split into two angles where the values of the six trigonometric functions are known. Step 2. Apply the sum of angles ...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(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 .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 origin of stock market fractions dates back to the establishment of the American stock market. Learn where stock fractions came from. Advertisement Ever since the New York Stoc...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.The 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…Sep 25, 2016 ... Exact Value of sin(75). The Math Sorcerer•16K ... Degrees & Radians, Trigonometry ... Unit Circle Trigonometry - Sin Cos Tan - Radians & Degrees.

Sine. Sine, written as sin⁡(θ), ... Below are 16 commonly used angles in both radians and degrees, along with the coordinates of their corresponding points on the unit circle. ... One method that may help with memorizing these values is to express all the values of sin(θ) as fractions involving a square root. Starting from 0° and ...

With the help of result sin(A+B) =sinA⋅B+cosA⋅sinB, find the value of sin75. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. 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 ... 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 ...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Explanation: For sin 5 degrees, the angle 5° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 5° value = 0.0871557. . . Since the sine function is a periodic function, we can represent sin 5° as, sin 5 degrees = sin (5° + n × 360°), n ∈ Z. ⇒ sin 5° = sin 365° = sin 725 ... 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.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...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.With the right music degree, you could be on the way to your dream job in the music business. Updated May 23, 2023 thebestschools.org is an advertising-supported site. Featured or ...

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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 ...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...Advertisement The various components of crude oil have different sizes, weights and boiling temperatures; so, the first step is to separate these components. Because they have diff...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° = …For sin 33 degrees, the angle 33° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 33° value = 0.5446390. . . Since the sine function is a periodic function, we can represent sin 33° as, sin 33 degrees = sin (33° + n × 360°), n ∈ Z. ⇒ sin 33° = sin 393° = sin 753°, and so on. 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, 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 ... 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 ... The exact value of sine of angle seventy five degrees in fraction form is equal to the quotient of square root of six plus square root of two by four. sin. ( 75 ∘) = 6 + 2 4. The sine of angle five pi by twelve radian can be proved exactly in fraction form in trigonometric mathematics.prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)} prove\:\frac{\sin(3x)+\sin(7x ...A mortal sin is the most serious type of sin in Christianity. Types of mortal sin include idolatry, adultery, murder and slander. These sins are more serious than venial sins becau... ….

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 ...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.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...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.Find the exact value of sin 150 degrees; ... Find the value of cos (31π/3) How do I find the value of sin 150° in fraction form? What is the value of sin(225°) in radical form? Sin Cos Tan Values; Find the exact value of csc 225° ... ⇒ sin(75) + sin(15) = (sin45.cos30 + cos45.sin30) + (sin45.cos30 – cos45.sin30) ... Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... Plugging the angle value, in degrees, in the previous formula, we get: α rad = π × 75 /180 = . π × 75÷15/180÷15 = 5π/12 radian, when reduced to lowest fraction in terms of π.. Note: 5π/12 rad can be expressed as real number or as a decimal as 0.41666666666667π rad = 1.3089969389957 radians.Learn how to derive the exact value of sine of angle 75 degrees in fraction form using trigonometric identities and simplification. The answer is sin (75°) = 6 + 2 4.prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)} prove\:\frac{\sin(3x)+\sin(7x ... 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. Sin 75 degrees in fraction, Let us find the value of $\sin 75$ using the formula of the compound angles of sine functions. The following formula is the key to find sin 75 degree: sin(A+B) = sin A cos B + cos A sin B . Note that we can write sin 75 as follows: $\sin 75 = \sin(45 +30)$, Feb 26, 2017 · 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. , 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° = …, Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step, Advertisement The various components of crude oil have different sizes, weights and boiling temperatures; so, the first step is to separate these components. Because they have diff..., Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor., $\begingroup$ 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., 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., Advertisement The various components of crude oil have different sizes, weights and boiling temperatures; so, the first step is to separate these components. Because they have diff..., tangent at sin(x) at x = 75; addition formula sinx; identities for trigonometric functions; continued fraction expansions for pi, 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), 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 …, Explanation: For sin 5 degrees, the angle 5° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 5° value = 0.0871557. . . Since the sine function is a periodic function, we can represent sin 5° as, sin 5 degrees = sin (5° + n × 360°), n ∈ Z. ⇒ sin 5° = sin 365° = sin 725 ..., 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.cosA, 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 ..., 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..., Sep 25, 2016 ... Exact Value of sin(75). The Math Sorcerer•16K ... Degrees & Radians, Trigonometry ... Unit Circle Trigonometry - Sin Cos Tan - Radians & Degrees., 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 ... , Many brokerages will allow you to buy and sell fractional shares in exchange-traded funds, which can be a handy way to invest if you don't have much money available to put into the..., Find the Exact Value sin(70 degrees ) Step 1. The result can be shown in multiple forms. Exact Form: Decimal Form: ..., Feb 18, 2024 · Find the exact value of sin 150 degrees; ... How do I find the value of sin 150° in fraction form? ... ⇒ sin(75) + sin(15) = (sin45.cos30 + cos45.sin30) + (sin45 ... , Trigonometry. Find the Exact Value sin (15) 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(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30) , With the help of result sin(A+B) =sinA⋅B+cosA⋅sinB, find the value of sin75. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ., $\begingroup$ 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., With the help of result sin(A+B) =sinA⋅B+cosA⋅sinB, find the value of sin75. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ., 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 …, Apr 16, 2024 · Transcript. Ex 3.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Show More. Next: Ex 3.3, 5 (ii) → Go Ad-free. Chapter 3 Class 11 Trigonometric Functions. , Find: sin 75 deg Answer: sin 75 = +- sqrt(2 + sqrt3)/2 Call sin 75 = sin t --> cos 150 = cos 2t On the trig unit circle, cos (150) = cos (180 - 30) = - cos 30 ..., sin ⁡ ( 45 °) = 2 / 2. \sin (45\degree) = \sqrt {2}/2 sin(45°) = 2. . /2. Other interesting angles are 30\degree 30° and 60\degree 60°, as they appear in other special right triangles. For these angles, we have the sine of 30 and the sine of 60 degrees. sin ⁡ ( 30 °) = 1 / 2. \sin (30\degree) = 1/2 sin(30°) = 1/2., Transcript. Example 11 Find the value of sin 15°. sin 15° = sin (45° – 30°) = sin 45° cos 30° – cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ((√3 − 1)/2) = (√𝟑 − 𝟏)/(𝟐√𝟐), sin (75 degree) Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals., A bachelor's degree in aviation will qualify you for work as an airline or commercial pilot. Updated May 23, 2023 thebestschools.org is an advertising-supported site. Featured or t..., What is the exact value of sin(75) degrees sin75º=sin(30)º+45º) =sin 30 cos 45+cos 30 sin 45 ... sin(75°) = sin(45°+30°) = sin(45°)cos(30°)+cos(45°)sin ...