Verify the identity. 2 cos 3x sin x = 2 sin x cos x – 8 cos x sin3 x Working with the left-hand side, use a Product-to-Sum Identity, and then simplify. LHS = 2 cos 3x sin x 2. (sin(3x + x) - - sin 2x Use a Double-Angle Identity for the first term, and then simplify by grouping like terms. LHS = sin 2x = (sin 2x)( Use the Double-Angle Identities as needed, and then simplify by finding the product. |) (21 - 2 sin? x) – 1) LHS = 8 cos x sin x - 2 sin x cos x II

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A: Since, we have been given that cos 2x=-37 where π<2x<3 π2-(i)Our aim is to find the exact…

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A: To establish the given identity we use basic trigonometric relations.

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A: We can prove the identity by applying Pythagorean theory.

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A: 5. sin2θcos θ=sec θ-cos θ6. sec2x-11+tan2x=sin2x

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A: Consider  sin25xcos25x

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A: a) By using the identity we get

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A: we have to solve the integral using substitution.

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Q: please help

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A: Basic formulae that you will use:

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A: Given, 11+sinx-11-sinx=-2sinxcos2x We have to verify that the equation is an identity.

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Q: 3. Simplify a. cos 20 sin 90- cos 90 sin 20 cos A b. csc A (1- 1+sin A.

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Q: (a) Using a trig identity, write z(t) = -5 cos(4t) - 3 sin(d4) using only one cosine function. z(t)…

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Q: Verify the identity. (Simplify at each step.) 8 sin² x − 8 sinª x = 8 sin² x (1 – - 1 (8- - = 8…

A: Topic = Trigonometry As per guidelines , At a time only one question can be answered. Please repost…

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A: Let Looking at the right triangles for these values,the following is true.