Write the expression as the sine, cosine, or tangent of an angle. sin 3x cos x - cos 3x sin x

Q: Write the following expression as the sine, cosine, or tangent of a double angle. Then find the…

A: Given expression: 2 cos2 π8-1   Double angle identity of cosine: cos 2θ=2 cos2 θ-1

Q: Simplify and write the trigonometric expression in terms of sine and cosine: sec t – cost (f(t))?…

A: Given that, ft2=sect-costsect

Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1+cos y/1+sec y=

A: Plz like ? We have to find given expressions in terms of sine and cos  Hence, it can be solved as…

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin u cos u cot u

A: We need to simplify the given trigonometric expression,

Q: Express the given sum or difference as a product of sines and/or cosines. sin 5x- sinx sin 5x- sin…

A: Our Aim is to express the  difference given below:-sin (5x)-sin (x) -(i) as a product of sines…

Q: 137 Write sin in terms of the sine of a positive acute angle. 12 Provide your answer below: sin

A:

Q: Simplify and write the trigonometric expression in terms of sine and cosine: sec t−cos t/sec…

A: we know that trigitrigonom identities :  sec (t) = 1/cos(t)  And  sin2 (t) = 1- cos2(t)

Q: Express the given sum or difference as a product of sines and/or cosines. sin 5x- sin 3x sin 5x- sin…

A: We have to express the given difference of sine function into product of sine or cosine: sin 5x-sin…

Q: Use the Law of Sines to find the indicated side x. (Assume a = 11. Round your answer to one decimal…

A: From the given figure, Angle C can be obtained as follows. C=180°-A-B=180°-37.5°-28.1°=114.4° Now we…

Q: Simplify and write the trigonometric expression in terms of sine and cosine: sec t – cos t (f(t))²…

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin 70° cos 5° + cos 70° sin 5°

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Q: Use the Law of Sines to find the indicated side x. (Assume a = 170. Round your answer to one decimal…

A:

Q: Simplify the trigonometric expression. csc(x) – sin(x) cot(x)

A: Given expression is

Q: Write the expression as the sine, cosine, or tangent of an angle. sin 60° cos 5° + cos 60° sin 5°

A: The following formula is used in solving the given function.

Q: Write the expression as the sine, cosine, or tangent of an angle. sin 50° cos 5° + cos 50° sin 5°

A:

Q: Write the expression as the sine, cosine, or tangent of an angle. sin 6x cos 2x- cos 6x sin 2x sin…

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Q: Simplify the expression. Do not evaluate. cos?(5x) – sin?(5x)

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Q: Let sin t = a, cos t=b, and tant=c. Write the expression in terms of a, b, and c. 13 cos (-t)- cost…

A: We have to solve

Q: Simplify and write the trigonometric expression in terms of sine and cosine: sec t−cos t/sec…

A: Here we use formula sect=1/cost And 1-cos2t= sin2t

Q: Write the expression as the sine, cosine, or tangent of an angle. cos 4x cos 5y + sin 4x sin 5y

A: Given, cos 4x cos 5y + sin 4x sin 5y  We have to write the expression as the sine, cosine, or…

Q: Write the expression as the sine, cosine, or tangent of an angle tan(7/15) + tan(27/5) 1. -…

A: In this question, following simple equation is used- tan(x+y)= (tanx + tany)/(1-tanx*tany)

Q: Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the…

A: Given sin5π12cosπ4-cos5π12sinπ4 Take sin5π12cosπ4                      ⇒sin5 × 18012 . cos1804⇒sin75…

Q: Evaluate the sine, cosine, and tangent of each angle. Do not use a calculator. (If an answer is…

A: To find the given sine, cosine and tangent values.

Q: Write the expression sin 40° cos 20° + cos 40° sin 20° as the sine, cosine, or tangent of an angle.…

A: Use the following identity. sinA+B=sinAcosB+cosAsinB

Q: Write the expression as the sine, cosine, or tangent of an angle. cos 140° cos 20° – sin 140° sin…

A: Given expression is cos140°cos20°-sin40°sin20° we have to write the expression as the sine , cosine…

Q: Write the expression as the sine, cosine, or tangent of an angle. co() co() - sin(4) an() 5

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Q: Write in terms of sine and cosine and simplify the expression. cos A - 2 sin A cos A cos² A - sin² A…

A:

Q: Simplify and write the trigonometric expression in terms of sine and cosine: sec t cos t (f(t))² sec…

A: given that sec t-cos tsec t =ft2 change sec t= 1cost  therefore, 1cost-cos t1cost…

Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1 tan u + cot u f(u)…

A: Write tan and cot terms in sine and cosine

Q: Write the expression as the sine, cosine, or tangent of an angle. cos 110° cos 50° - sin 110° sin…

A: Given the expression  Cos 110° Cos 50° - Sin 110° Sin 50°  we need to solve this. As we know that…

Q: Let sin t = a, cos t=b, and tant=c. Write the expression in terms of a, b, and c. 12 cos (-t)- cost…

A: Trigonometric functions:- The trigonometric functions are real functions that relate an angle of a…

Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1+ cos y 1+ sec y

A: The given expression is, 1+cosy1+secy We need to express the given expression in terms of sine and…

Q: Rewrite sin ( x in terms of sin(r) and cos(r). Check Answer

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Q: Let sin t=a, cos t=b, and tant=c. Write the expression in terms of a, b, and c. 2 sin (-t) - sint 2…

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Q: Express the given sum or difference as a product of sines and/or cosines. sin 7x - sin 3x sin 7x -…

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Q: Write the expression as sin, cosine, or tangent of an angle cos( 5pi/7)…

A: Consider to given trigonometric expression, cos5π7cos2π5-sin5π7sin2π5 Use the trigonometric…

Q: Write the expression as the sine, cosine, or tangent of an angle. 47T cos 47T sin CoS sin

A:

Q: Write the expression as the sine, cosine, or tangent of an angle cos 140° cos 50° – sin 140° sin 50°

A: Formula:

Q: Express the given sum or difference as a product of sines and/or cosines. sin 9x - sin x sin 9x -…

A:

Q: Simplify the expression. Do not evaluate. cos?(5x) – sin2(5x)

A: You can solve this Question bye this method

Q: Write the expression as the sine, cosine, or tangent of an angle. tan 120° - tan 80° 1 + tan 120°…

A: Given that

Q: Write the expression as the sine, cosine, or tangent of an angle. 6T sin 5. CO COS 7 - sin 7

A: Here we have to use the trigonometric identity

Q: Let sin t= a, cos t = b, and tant= c. Write the expression in terms of a, b, and c. 13 cos (-t)-…

A: We have to solve

Q: Write the expression as the sine, cosine, or tangent of an angle. sin 3 cos 1.2 - cos 3 sin 1.2

A:

Q: sin 5 cos 1.8 - cos 5 sin 1.8

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Q: Use the formula asin Be + bcos Be = Va²+b*sin(B@ + C), where C = arctan(b/a), a = 18, b =6, B = 3 ,…

A: We have given the formula;

Q: Use the Law of Sines to find the indicated side x. (Assume a = 155. Round your answer to one decimal…

A: Here a=155we find the side x

Q: Write the expression as the sine, cosine, or tangent of an angle. tan 24° + tan 22° 1- tan 24° tan…

A:

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. tan(u) sin(u) +…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.