If a=cos`theta`+i sin`theta`, find the value of `frac{1+a}{1-a}`

If y = cos theta + isin theta , then the value of y+frac{1}{y} is

If costheta=12/13 , 0 < theta < pi /2 , find the value of frac(1)(tan^2theta)

If sqrt3 tan theta = 3 sin theta , find the value of sin theta^2 theta - cos^2 theta , where theta ne 0 .

If x= Cos theta + i sin theta , find x^6 + (1/x^6) .

If 5 sec theta - 12 cosec theta =0, find the values of sec theta, cos theta and sin theta .

If 5 sin theta - 12 cos theta = 0 , find the values of sec theta and cosec theta .

If 3 sin theta - 4 cos theta = 0 , then find the values of tan theta , sec theta and cosec theta .

2cos^2theta-2sin^2theta=1 then theta =

If sin^2 theta=1/4 , then value of theta is

If sin theta = (20)/(29) , then find the value of cos theta .