Find the value of `(cos3 theta+i sin3 theta)(cos theta-i sin theta)`

Find the value of (1+cos theta+sin theta)/(1-cos theta +sin theta)

If theta in R - {(4n + 1) pi/4 , n in I} , then range of (cos 3 theta + sin 3 theta)/(cos theta - sin theta) is :

([cos theta+i sin theta)/(sin theta+i cos theta))^(4)=?

If cot theta = (3)/(4) find the value of : ( sin theta- cos theta)/(sin theta+cos theta)

If cot theta = (x)/(y) , find the value of: " " ( x cos theta + y sin theta)/( y sin theta - x cos theta)

Prove that (cos^3theta+sin^3 theta)/(cos theta+sin theta)+(cos^3 theta-sin^3 theta)/(cos theta-sin theta)=2

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

Find the maximum and minimum value of cos^(2) theta- 6 sin theta cos theta + 3 sin^(2) theta + 2 .

Find the values of cos theta and tan theta when sin theta =-3/5 and pi < theta < (3pi)/2

Evaluate: intcos 2 theta ln((cos theta+sin theta)/(cos theta-sin theta))d theta