If x + (1//x) = 2 cos alpha, then what i...

If `x + (1//x) = 2 cos alpha`, then what is the value of `x^2 + (1//x^2)` ?

A

`4 cos^2 alpha`

B

`4 cos^2 alpha - 1`

C

`2 cos^2alpha - 2 sin^2 alpha`

D

`cos^2 alpha - sin^2 alpha`

Verified by Experts

Similar Questions

Explore conceptually related problems

If sin x cos x = 1//2 , then what is the value of sin x - cos x ?

If cos x + cos^2 x = 1 , then what is the value of sin^2 x + sin^4 x ?

If sin x + sin^(2)x = 1 , then what is the value of cos^(8)x + 2 cos^(6)x + cos^(4)x ?

If cos theta =1/2 (x+1/x) , what is the value of cos 2 theta ?

If s in x=cos^(2)x, then write the value of cos^(2)x(1+cos^(2)x)

Let cos(2 tan^(-1) x)=1/2 then the value of x is

If alpha,beta " are the roots of the equation "x^(2) - 2x - 1 =0, "then what is the value of " alpha^(2)beta^(-2)+alpha^(-2)beta^(2)

If x in (0, 1) , then find the value of tan^(-1) ((1 -x^(2))/(2x)) + cos^(-1) ((1 -x^(2))/(1 + x^(2)))