`((sin theta+i cos theta)/(cos theta+i sin theta))^(4)`

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

If A(theta)=[(sin theta, i cos theta),(i cos theta, sin theta)] , then which of the following is not true ?

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)

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

If theta varepsilon R and i=sqrt(-1), then ((1+sin theta+i cos theta)/(1+sin theta-i cos theta))^(n) is equal to

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

If ((1 + cos theta + i sin theta ) /(i+ sin theta + i cos theta ))= cos ntheta + i sin n theta then n is equal to :

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

((cos3 theta+i sin3 theta)^(5)(cos theta-i sin theta)^(3))/((cos5 theta+i sin5 theta)^(7)(cos2 theta-i sin2 theta)^(5))

If 3sin theta =2 cos theta , then (4sin theta - cos theta)/(4cos theta+sin theta) is equal to :