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

Write the argument of (1+sqrt(3))(1+i)(cos theta+i sin theta)

Express (1)/(1-cos theta+2i sin theta) in the form x+iy.

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

"(cos theta+i sin theta)^(6)(cos theta-i sin theta)^(-3)

If (2+i)r^(-1)={4i+(1+i)^(2)}(cos theta+i sin theta) then value of r is

Prove each of the following identities : (i) (1+ cos theta + sin theta)/(1+ cos theta - sin theta) =(1+ sin theta)/(cos theta) (ii) (sin theta + 1- cos theta)/(cos theta - 1 + sin theta) = (1+ sin theta)/(cos theta)

((cos theta-i sin theta)^(4))/((sin theta+i cos theta)^(5)) is equal to

" (i) "(cos theta+sin theta)/(cos theta-sin theta)

Prove (cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)