Find `(costheta+isintheta)^n`

Evaluate (costheta-isintheta)^n

Evaluate (costheta-isintheta)^(-n)

Convert the complex number (costheta+isintheta)^5 in a+ib form

The general value of theta which satisfies the equation (costheta+isintheta)(cos3theta+isin3theta) (cos5theta+isin5theta)…………((cos2n-1)theta+isin(2n-1)theta) = 1 is

Write the Argument of (1+sqrt3i)(costheta+isintheta)

Prove that (frac(1+costheta+isintheta)(1+costheta-isintheta))^n=cos ntheta+isin ntheta .

Convert Z=1/(costheta-isintheta) in a+ib form

Express 1/(1-costheta+2isintheta) in the form A+iB