Rewrite the expression as a simplified expression containing one term. cos a cos (a + B) + sin a sin (a+ B) cos a cos (a + B) + sin a sin (a + B) =| (Type an expression. Simplify your answer.)

Q: Use the addition and subtraction formulas to simplify the expression. cos(x +y) cos(x - y)

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Q: 2 sin "y 1-cosy

A: We have to simplify

Q: 11. Determine the correct simplification of the expression (1+ cos a)(1 - cos a). a. 1- sin a b.…

A: To simplify :  (1-cosα)(1+cosα)

Q: Write the following in terms of sin ? and cos ?; then simplify if possible. (Leave your answer in…

A:

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

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Q: Simplify the expression by writing it in terms of 0. 3n. cos(0 – 37) 2

A: We know that, cos-α=cosα          ⋯⋯1cos3π2-α=-sinα       ⋯⋯2

Q: Rewrite the expression as a simplified expression containing one term. sin (a - B)+ sin (a+ B) cos…

A: To Determine: rewrite the expression as a simplified containing one term . Given: we have a function…

Q: Write the given expression as an algebraic expression in x. cos(2 cos-1(x))

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Q: sin y 2 1- cos y COS

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Q: Rewrite the expression as an equivalent expression that does not contain powers of trigonometric…

A: Simplify the given trigonometric function

Q: Simplify the expression sqaure root of 16-x^2 as much as possible after substituting 4 sin(theta)…

A: We have to simplify the expression sqaure root of 16-x2 as much as possible after substituting 4…

Q: Simplify the expression. co x+10 cos x + 25 COSX +5 COS X+ 5 O cOs X -5 sin x + 5 cosx-5 1.

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Q: Rewrite 4sin(×)as A sin (×+θ) A= Θ=

A: Given,           4sin(x)

Q: Simplify the expression sin 29.5° cos 29.5°. 8

A: Given18sin(29.5°)cos(29.5°)we know that double angle identitiessin(2θ)=2sinθ.cosθ

Q: Determine the correct simplification of the expression (1+cos a)(1- cos a). 1-sin' a b. cos a a.…

A: We can solve both the question using the properties of trigonometry as below (1+cosα)(1-cosα)

Q: 2. Simplify the expression: cos (x+)+ cos (x (x%) (i +*) =

A:

Q: Rewrite the expression so that it is not in fractional form. There is more than one correct form of…

A:

Q: Write an equivalent algebraic expression that involves x only. cos  ( cos  -1  x)

A: Given- coscos-1x To find- The equivalent algebraic expression for the above inverse trigonometric…

Q: Rewrite the expression as a simplified expression containing one term. cos (a- B)- cos (a + B) sin…

A: It is known that…

Q: Evaluate the expression below without using a calculator. cos(2tan-1 1/2)

A: we have to find the value of: cos2tan-112

Q: Write the expression below as an equivalent expression involving only x. (Assume x is positive.) Cos…

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Q: Simplify the following expression: tan x csc x 2. cos (90-0)-1 3. 1+sin (-0) 1. sin x cot x sec x…

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Q: Simplify the expression: (1 + cos a)(1 — cos(-a)) O sin² a 2 cos a 1 + 2 cos a + sin² a sin a

A: We have to solve the expression

Q: Which of the following is the correct simplification of the expression sin (x) cos (x) tan (x) O…

A:

Q: What is always true? O sin A - cos A O sin A- cos B sin A- cos C O sin A- tan B

A: Topic = Triangles sin A=cos B

Q: Write the expression as a Single trigonometnic furction. cos 6x cos4x Sin6x Sin4x a Cos 12x b. Sin…

A: Explanation of the answer is as follows

Q: Simplify the expression: (1 + cos a)(1- cos(-a)) O sin² a cos a 01 + 2 cosa + sin²a sin a

A: The given expression is 1+cosα1-cos-α

Q: Rewrite the expression in terms of the given function or functions. 2, cSC X+tan xcsc x; cosx and…

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Q: Write the expression as an equivalent algebraic expression involving only x. (Assume x is positive.)…

A:

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin? a (1 + cos a)(1 – cos a)…

A: Given:  1+cos α1-cos α=sin2 α To Find: To verify the given identity.

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a (1 + cos a)(1 – cos a)…

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Q: Verify that the equation is an identity. (Hint: cos 2x = cos (x+x).) cos 2x+2 sin ?x-1= 0 Which of…

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Q: rewrite the expression as a product cos 5x − cos x

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Q: Write an equivalent algebraic expression that involves x only  cosec   ( sin  -1 1/ x)

A: Given: The expression cosecsin-11x, To find: The algebraic expression equivalent to given expression…

Q: Rewrite the expression below in terms of sin(0) and cos(8). (Simplif sec(e)(1 + tan(0)) sec(0) +…

A:

Q: Rewrite the expression sin(x)tan(x) + cos(x) in terms of cos(x). sin(x)tan(x) + cos(x) Preview Box…

A: We have to write this expression in terms of cos x.

Q: b) cotx C) O 1-COS2X |-COSZX 2. cos?x

A: We have to simplify the expressions using identity: b)  cot xcosec xc)  1-cos 2xcos2 x We know the…

Q: sin (a- B) - sin (a+ B) cos (a- B) - cos (a+ 3)

A:

Q: 12. Determine the correct simplification of the expression tan acos a+ cos a. a. sin? a b. cos a sin…

A: Given: tan2α cos2α+ cos2α

Q: Rewrite the expression as a simplified expression containing one term. sin (a - B) - sin (a+ B) cos…

A:

Q: Rewrite the expression in terms of the given function or functions. 2. cos x+ cos x-1+ sin x, cos x…

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Q: What is the simplified form cos A+cos B sin A-sin B sin A+sin B cos A-cos B O 1 O sinA cosA no…

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Q: Simplify the expression tan x/tan x + cot x. A sin x B cos x C sin^2 x D cos^2 x

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Q: Rewrite the expression in terms of the given function or functions.

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Q: a) Simplify cos "+ sin (3x) in terms of x . 2 [Hint: cos(A B)= cos Acos B sin A sin B1

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Rewrite the expression so that it is not in fractional form. There is more than one correct form of…

A: At first we will use trigonometric identity that sin2x+cos2x=1. Then simplfy the expression.

Q: Which of the following expressions is equivalent to -? Cos a cos a 1-cos a a. c. 1- sin? 1+cos a d.…

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Q: Simplify the expression. 2 cos x + 16 cos x + 64 cos x + 8

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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.