-((1+cos phi+i sin phi)/(1+cos phi-i sin phi))^(eta)

If ((1+cos phi+i sin phi)/(1+cos phi v-i sin phi))^(n)=u+iv, where u and v all real number,then u is :

If ((1+cos phi+i sin phi)/(1+cos phi-i sin phi))^(n)=u+iv, where u and v all real numbers,then u is

Express the following in a + ib form: (a) ((cos alpha + i sin alpha)^(4))/((sin beta + i cos beta)^(5)) (b) ((1+ cos phi + i sin phi)/(1 + cos phi - isin phi))^(n) (c) ((cos alpha + i sin alpha)(cos beta + i sin beta))/((cos gamma + i sin gamma)(cos delta + i sin delta))

(3 cos phi+cos 3 phi)/(3 sin phi-sin 3 phi)=

The product of matrices A = [(cos^(2) theta, cos theta sin theta),(cos theta sin theta , sin^(2) theta)] and sin B = [(cos^(2)phi, cos phi sin phi),(cos phi sin phi, sin^(2) phi)] is a null matrix if theta - phi =

If theta-phi=pi/2, prove that, [(cos^2 theta,cos theta sin theta),(cos theta sin theta,sin^2 theta)] [(cos^2 phi,cos phi sin phi),(cos phi sin phi,sin^2 phi)]=0