If `x+1/x=2 cos theta`, then the value of `x^n+1/x^n`

If x^(2)-2x cos theta+1=0, then the value of x^(2n)-2x^(n)cos n theta+1,n in N is equal to

If x^2-2xcos theta+1=0 , then the value of x^(2n)-2x^n cosntheta+1, n in N is equal to

If x satisfies x^(2)-2x cos theta +1=0 , then the value of x^(n)+((1)/(x^n)) is

If x = cos theta + isin theta , then the value of x^(n) + (1)/(x^(n)) is

If x + 1/x = 2cos theta , then for any integer n, x^(n) + 1/x^(n) =

Find 1/x+x=2cos theta, then prove that x^(n)+1/x^(n)=2cos n theta

If x_1, a n dx_2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, then find the maximum value of x_1^2+x_2^2