Verify the identity. sec(t) – cos(t) = sin²(t) sec(t) Use a Reciprocal Identity to rewrite the expression in terms of cosine only, and then simplify. 1 cos(t) sec(t) – cos(t) sec(t) - cos(t) cos(t)) Use a Pythagorean Identity. II Verify the identity. tan?(u) – sin?(u) = tan?(u) sin?(u) sin?(u) sin?(u) cos²(u) cos?(u) tan?(u) – sin?(u) sin?(u) - cos?(u) 1 - cos?(u) cos?(u) sin²(u) . (1 cos?(u) tan?(u) sin?(u)

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A: The given integral,         ∫10xcos 10xdx

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A: See the details solution in below

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A: Authoring guidelines:…

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Q: 2. Find the value of e a. 2 sin? 0 - sin 0 -1 = 0 0 if 0°<0<360° for 2 cos? 0- cos 0 -1 = 0 b.

A: a) The given equation is, 2sin2θ-sinθ-1=02sinθ+1sinθ-1=0sinθ=1⇒θ=4n+1π2, where…

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A: We take the RHS and simplify it and verify if it is equal to the LHS.

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A: Hey, since there are multiple questions posted, we will answer one question. If you want any…

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A: According to question∫0π∫01-sinθr2 cosθ dr dθ

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A: Okay I am solving first question as you mentioned.

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A: Just I have make the substitution and solved the given integral.

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A: Consider the given identity, cosA+1sin3A=cscA1-cosA Cross multiply the equation,…

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A: Note that we have to show that the integral value is  π2(1 - cosα).

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A: Given ∫sin(t)[2+cos(t)]4 dt Formula: ∫xn dx=xn+1n+1+c Consider, ∫sin(t)[2+cos(t)]4 dt…

Q: Evaluate: D°(sin x- e20) A -sin x - 32e* B sin x - 32e2 © -32- e D cos x - 32e2

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Q: 3x 1. Determine the exact value of sin(a - b), if cosa = where ≤ ≤ 2 and cos b where ≤ b ≤n. 13

A: We will use simple trigonometric identities to solve this question.

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Q: a) Sinh 3t cos't

A: Since you post not connecting 4 questions as per our guideline we solve only first question for you.…