Solve `(1)/(cos theta-i sin theta)`

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

Solve sqrt(3)cos theta-3sin theta=4sin2 theta cos3 theta

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

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

Prove that ((1+cos theta+i sin theta)/(1+cos theta-i sin theta))^(n)=cos n theta+i sin n theta

Prove that : (1-cos theta+i sin theta)/(1+i sin theta+cos theta)=ie^(-1)tan((theta)/(2))

If theta=(pi)/(6) then the 10^(th) term of the series : 1+(cos theta+i sin theta)^(1)+(cos theta+i sin theta)^(2)+

if theta=(pi)/(6) then the 10 th term of the series 1+(cos theta+i sin theta)^(1)+(cos theta+i sin theta)^(2)+

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .

What is the modulus of the complex number (cos theta+i sin theta)/(cos theta-i sin theta) where i=sqrt(-1) ?