2 Using the relation 2 (1 cosx) < x², x # 0 or otherwise, prove that sin (tan.x) > x, V x € (0, - · 4)

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

A:

Q: Prove: sin (2 cosx) = 2x1-x

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Q: sin* x – cos* x = 1 x – cos? x

A:

Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

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Q: b) Differentiate the function below with respect to x. f(x) = (2+3x) sin (8 + 2x) Note: In Text mode…

A: The given function is f(x)=-2+3xsin8+2x. To Find: Derivative of above function.

Q: 6. f tan x secx+4 cos x - dx

A:

Q: given that sin(x-A)=2cos(x+A) Show that tan x= 2tanA/1+2tanA

A: Formula used:

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A:

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

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Q: FIX) = sin(x+ cos x) -0.5=0 Find F(X), F(x)

A:

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: Suppose that acosx = 1+sinx prove that (a-1)/(a+1)= t where tan( A)/(2) is t

A: acosx = 1+sinx prove that (a-1)/(a+1)= t where tan( A)/(2) is t.

Q: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx

Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

A: