if `(1+x)/(1-x)=cos2theta+isin2theta` then prove that `x=itantheta`

If (1+x)/(1 -x)=cos2theta +isin2theta , prove that that x=itantheta .

If x=costheta+isintheta Prove that (x^(2n)-1)/(x^(2n)+1)=itantheta

If x=(2sin theta)/(1+cos theta+sin theta), then prove that (1-cos theta+sin theta)/(1+sin theta) is equal to x

If x+iy=(1)/(1+ cos theta+ isin theta) , show that 4x^(2)-1=0

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

Express 1/(1+cos2theta+isin2theta) in the form of x + iy

Express 1/(1+cos2theta-isin2theta) in the form of x + iy

If sec theta-tan theta=x then prove that cos theta=(2x)/(1+x^2)

tan theta+sec theta=x show that 2tan theta=x-(1)/(x),2sec theta=x+(1)/(x) hence prove that sin theta=(x^(2)-1)/(x^(2)+1)

If sin theta+cos theta=x then prove that sin^(6)theta+cos^(6)theta=(4-3*(x^(2)-1)^(2))/(4)