If `x-1/x=2isintheta`, show that , `x^4-1/(x^4)=2isin4theta`

If x-1/x = 2i sin theta, "show that", x^(4)-1/x^(4)=2i sin 4 theta.

If x-1/x=2i sin theta," then "x^4-(1)/(x^4)=

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

If x=1/sqrt2(1+i) then show that x^6+x^4+x^2+1=0

If x +iy = (3)/(2 + cos theta + isin theta) , show that x^(2) + y^(2) = 4x - 3

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

If x+iy=(2)/(3+cos theta+isin theta),"show that" " " 2x^(2)+2y^(2)=3x-1.

If tan theta+sec theta=x" show that 2 tan "theta=x -1/x, 2 sec theta=x+1/x. Hence show that sin theta=(x^(2)-1)/(x^(2)+1)

If x+iy=2/(3+costheta+isintheta) ,show that 2x^2+2y^2=3x-1