Home
Class 12
MATHS
Prove that cosx+cos2x+ … + cosnx=(sin(n+...

Prove that `cosx+cos2x+ … + cosnx=(sin(n+1/2)x-sin(x/2))/(2sin(x/2))` and hence prove that : `int_0^1(sin(n+1/2)x)/sin(x/2)dx=pi`

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that the value of : int_0^pi(sin(n+1/2)x)/sin(x/2)dx=pi

The value of int_(0)^(pi)(sin(n+1/2)x)/(sin(x/2))dx is

Prove that cos x+cos3x+cos5x+cos(2n-1)x=(sin2nx)/(2)sin x

Prove that sinx +sin2x +sin3x =sin2x (1+2cosx) .

Prove that : int_(0)^(pi) sin^(2m) x. cos^(2m+1) x dx=0

Prove that: int_0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx = pi^2

Prove that: int_0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx = pi^2

Prove that: int_0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx = pi^2

Prove that: int_0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx = pi^2

Prove that: int_(0)^( pi/2)(sin x)/(sin x-cos x)dx=(pi)/(4)