Verify the identity. cos(+ x) + cos(-x) = = COS X X- cos(+ x) + cos(-x) = 2 cos ( 2 COS ( + + x + = - x) cos( + + x - ( __ 3 3 2 = 2 cos COS X cos X

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A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: Consider the following. cos(x + y) cos(x - y) = cos(x) - sin²(y) Prove the identity. - sin(x)…

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Q: Solve cos 2x + cos x O for x if 0 < x < 27. ||

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Q: Match each expression with the appropriate formula that would be used for simplification. sin 8x +…

A: Solution:-

Q: Find the exact value of the expression in the terms of x cos(sin- ()) '25-(ӕ—2)2 V8+(z-30)2 125…

A: Inverse Trigonometry

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

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Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

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Q: 11) Prove cos+x -sinfx = cos 2x

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Q: cos(E ) cos() + sin() sin() os() + sin() sin(주) COS 18 18

A: Given : cos10π9cos5π18 + sin10π9sin5π18

Q: State the sum and difference formulas for the cosine. cos (x + y) = cos (x) cos (y) - sin (y) sin(x)…

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Q: ·/₁ Evaluate cos x sin³ x dx. 2 cos(x) + cos¹ (x) ²/ X syntax error. + C

A: Given query is to find the integral.

Q: Guven yef)= cos(x)+1,find its inverse

A: y=cos3(x)+1 Subject to x:

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Q: cscx−sinx cos²x CSC X =

A: We need to prove that cscx-sinxcscx=cos2x

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Q: 3 2 IT I Vo cos 22 Ө cos de

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Q: Cos (tan (-1)) nin (con (-4))

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Q: csc² x+sec² x 1 cos² sin² 10

A: As we know from the trigonometric identity: 1). sinx=1cscx 2). cosx=1secx 3). sin2x+cos2x=1   Given:…