x+ cos X Find the derivative of tan x . O A) tan x+ tan xsin x+ xsec x+secx tan? x tan x(1+sin x) O B) (x+cos.x)sec x O C) tan x- tan x sin x-x secx-secx tan x O D) 1+ sin x secx O E) None.

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A:

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A: Use the method for substitution.

Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

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A: Let's solve given limit problem.

Q: sin(x-y) sin(x+y) tan x-tan y tan x+tan y ||

A: The given statement is: sin(x-y)sin(x+y)=tan x-tan ytan x+tan y

Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A:

Q: 3) 3 sin x + 5 sec x tan x COS X dx

A:

Q: 6. (a) Express cos (2 tan- ) (b) Express sin (2 cosx) as an algebraic expression in x. (c) Express…

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Q: 3 tan (x) sec (x) dx T) sec (x)dr

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Q: Part D

A:

Q: simplify tan(x) 2 sin(5) x - sin(4) x cos(5) x cos(4) x + sin(x)

A: Please find the solution image in explanation section.Explanation:

Q: 2) sec tan 4

A: Solution: The objective is to find the required value

Q: 1+tanx b) 1-tanx = tan (x + ²)

A: