Find the value of `Sin n theta` and `cos n theta` as a sum of binomial Expansion

(cos theta + i sin theta) ^ (n) = cos n theta + i sin n theta

Find the value of |[cos theta,-sin theta],[sin theta,cos theta]|

cos m theta=sin n theta then theta=

cos m theta-sin n theta=0

If 5 tan theta =4 then find the value of (5 sin theta - cos theta)/(sin theta + 3 cos theta)

If sqrt(3)sin theta=cos theta, find the value of (sin theta tan theta(1+cot theta))/(sin theta+cos theta)

The value of (1+cos theta+i sin theta)^(n)+(1+cos theta-i sin theta)^n=

If b tan theta = a find the value of (cos theta + sin theta )/( cos theta - sin theta)