Home
Class 11
MATHS
x+1/x=2cosalpha then x^n+1/x^n=...

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

A

`2 ^(n) cos alpha `

B

`2^(n) cos n alpha `

C

`2i sin n alpha `

D

`2 cos n alpha `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

cot^-1[(cosalpha)^(1/2)]-tan^-1[(cosalpha)^(1/2)]=x \; then , sin x=

If sin x+cosec x=2 then sin^n x +cosec^n x=?

Choose the correct alternative answer for each of the following questions : If m=x+1/x and n=x-1/x , then m^2-n^2= ?

If M = {x | x is a multiple of 5} : N = {x | x is a multiple of 7}, then M n N =

The coefficient of x^n in the expansion of (1+x)^(2n) and (1+x)^(2n-1) are in the ratio.

Which one of the following is a quadratic equation? a) 5/x-3=x^2 b) x(x+5)=2 c) n-1=2n d) 1/x^2(x+2)=x

If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)