Prove the identity. 4 sin(x - y) cos(x) cos(y) 4 tan(x) - 4 tan(y) Use a Reciprocal Identity, and then rewrite as a single rational expression. 4 sin(y) cos(y) 4 tan(x) - 4 tan(y) cos(x) cos(x) cos(y) Use an Addition or Subtraction Formula to simplify.

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A: For the numerator we will have to use the formula  With a=sinA and b=1

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A: Using batch Trigonometric identities we can find the solution

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A: (a) We have to express cos2α in terms of cos2α.

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A: We will solve the following.

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A: Differentiating again and again then find the recurrence relation of the nth derivative at 0.

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Q: 1. Consider the equation cos x tan x =1. sin x a) Show that it is true for x = 30°. b) Show that it…

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Q: Photo #1: Question Photo #2: Answer Key

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A: As bartleby required if many part then due to time we can do 3 part please upload remaining parts…

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A: a) ∫−3xcosxdx=−3x22cosx+C

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Q: Trigonometric identities Prove each of the following identities.

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Q: 10. Evaluate. (d) sin-1() (e) sin¬1 (sin (7)) (f) sin- (cos (E) (a) sin-' (0) (b) cos-1 (-) (c)…

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Q: 1-cos 2x 8. If the expression is simplified, then it is equal to sin 2x A. sin x B. cos x C. tan x…

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Q: cos x 7. In the proof of =1+sin x , Simon 1- sin x simplified as follows: cos? x cos“ x (1– sin x)×-…

A: The explanation is given below.

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A: The given function is  -  f(x) = 5sin3x49

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Q: 9. Find the exact value of sin 0- 2 1 (b) -26 -1 -26 +1 (d) (a) (c) (e) none of these 3 6 3

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Q: find the following limit

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Q: |A) sin (207 +x) = sin(x) B) The function cos(x) has domain [0,2pi). | C) cos³ (x) = cos (x*) = COS

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Q: Rewrite -6 sin(x) - 2 cos(x) as A sin(x + ø) A = 40 0.3217 Note: o should be in the interval - T < 6…

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Q: Verify the identity. sin-1 x + sin-1(-x) = 0 Let a - sin-1 x and 8 - sin-(-x). These equations imply…

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

Q: 15. e- A cos - i sin B - cos- i sin C cos + i sin 1) I cos(-n) – i sin(-n)}

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