Using the following definitions: sin (a) sin² 0 + cos² 0 = 1 (b)(cos) = - sin (c,d) sin(0₁ ± 02₂) sin 0₁ cos 0₂ (e,f) cos(0₁±0₂) = cos 0₁ cos 0₂ = = io -i0 - e 2i cos 0₁ sin 0₂ sin 0₁ sin 02 and cos 0 = = ei+e-, show that е 2

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Q: If cos x = 0.62 and P(x/2) is in QII, then cos(x/2) is equal to?

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Q: If sin x - x sin x = -y cosx , then (y - 1) sin x = ? da C- x sip C+x sitft (B C - x COSX C+x COs

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Q: cos( – x) + tan( – x)sin( – 2)

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Q: R/2 7 cos?(0) do

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Q: x/2 sin3(0) cos (0) do

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Q: cos(sin−1(x) − tan−1(y))

A: Important points:  cos(A + B) = cos A. cos B - sin A. sin B sin(sin-1x) = xcos(cos-1x) =…

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Q: 6. Prove that: ah cos (i) A sin (ar + b) = 2 sin (ah sin a (ii) A cos (ar + b) = - 2 sin

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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: 8 csc? 4x cos(cot(4x)) dx sin² (cot(4x))

A: Here, I will be using method of substitution to solve this integral. You can assume:…

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Q: If sec(t)=−9.65, what is cos(−t)? If csc(t)=0.31, what is sin(−t)?

A: As we know from the trigonometric identities; 1). sinx=1cscx 2). cosx=1secx And The negative angle…