If x+ 1/x =2 cos alpha, then x ^(n) +(1)...

If `x+ 1/x =2 cos alpha`, then `x ^(n) +(1)/(x ^(n))=`

A

`2^ncosalpha`

B

`2^ncosnalpha`

C

`2i sin nalpha`

D

`2 cos nalpha`

Verified by Experts

Similar Questions

Explore conceptually related problems

x+1/x=2cosalpha then x^n+1/x^n=

If frac{1}{x}+x = 2costheta , then x^n+frac{1}{x^n} is equal to

If I_n = int sin^n x \ dx, then n I_n - (n-1) I_(n-2) equals

If cos^(-1)x-"cos"^(-1)(y)/(2)=alpha , then 4x^(2)-4xy cos alpha+y^(2) is equal to :

{:(f(x),=x^(2)+alpha,",","for"x ge 0),(,=2sqrt(x^(2)+1)+beta, ",","for"x lt 0):} is continuous at x = 0 and f((1)/(2))=2 then alpha^(2)+beta^(2) is

Form the differential equation of simple harmonic motion given by x=A cos(nt+alpha) , where n is fixed and A, alpha are parameters.