4) Verify. cos²(x)[1 C. – tan²(x)] = cos(2x)

Q: X 25 24 7

A:

Q: S(sinx – cosx)²dx COoSx

A: Given, ∫sinx-cosx2dx  We have to find the integral.

Q: Show that os (2 tan~ r) COs

A: We have to prove that cos(2tan-1x)=1-x21+x2.

Q: Cos(10+x)

A: Here , We will apply the formula of Cos ( A+B) Cos(A+B) = [CosA CosB - SinA SinB ]

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

A:

Q: verify sin2(x)+cos2(x)=1

A:

Q: a. y= 3(x³+4) b. y= cos-1(-3x)

A: we have to find dy/dx for given y

Q: tan(cos-1(x/4))

A: We will consider a right triangle where adjacent= x and hypotenuse= 4 In this triangle

Q: Evaluate sin (x) cos“(x) dx.

A: ∫ππsin6x cos4x dx

Q: Find sin (x- π/2) if cos x=0.65

A: On solving this we will get

Q: Find x cos(x)-sin(x) = 0

A: