(a) Use the reduction formula sin"(x) dx = - 1 cos(x) sin" - '(x) + n - 1 sin" - 2(x) dx, where n 2 2 is an integer to determine which of the following reduction formulas is correct. n/2 x/2 sinn + 1(x) dx Jo n + 2 sin"(x) dx = n - 1 sin"(x) dx = sin" - 2(x) dx n - 2 x/2 O sin"(x) dx = sin" - 1(x) dx n/2 n + 1 sin"(x) dx = sin" + 2(x) dx Jo (b) Use part (a) to evaluate the following. sin3(x) dx = - 1/2 sin (x) dx = (c) Use part (a) to determine which of the following is correct for odd powers of sine. 2·4. 6...· 2n 3. 5. 7... · (2n + 1) sin2n + (x) dx = r/2 2· 4. 6.... 2n sin 2n (x) dx = 1· 3: 5. ...n 7/2 1·3· 5· .. .n sin 2n . + 1(x) dx = 2·4. 6.... 2n 3.5·7...• (2n + 1) sin2n + 1(x) dx 2·4. 6. ..· 2n

Q: True or false: For any constant C, d [tan(x) + C] = [sec(z)]²

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A: Since, we have been given that f(x)=8 cos (x)+5 tan (x)Also, we have f'(x)=-8 sin (x)+5cos (x)2Our…

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A: This answer is given below.Explanation:

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Q: 4) a) Determine the simplified expression for the 623rd derivative for the function f(x) =cos(2x)…

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