`(cos theta +i sin theta)^(7)/(sin theta + icos theta)^(7)=?`

((cos theta + i sin theta) / (sin theta + i cos theta)) ^ (4) = cos8 theta + i sin8 theta

(((cos theta+sin theta)^(4)-(cos theta-sin theta)^(4))/(sin theta cos 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 :

[(1 + cos theta + i sin theta) / (sin theta + i (1 + cos theta))] ^ (4) = cos n theta + i sin n theta

Choose the correct answer in each of the following questions: If 7tan theta=4 " then " ((7sin theta - 3 cos theta))/((7sin theta + 3 cos theta))=?

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

(i) |(cos theta,-sin theta),(sin theta,cos theta)|

Modulus of (cos theta-isin theta)/(sin theta-icos theta) is

The number of values of theta in (0, pi] , such that (cos theta + i sin theta) (cos 3 theta + i sin 3 theta) (cos 5 theta + i sin 5 theta) (cos 7 theta + i sin 7 theta) (cos 9 theta + i sin 9 theta) = -1 is

If 5 tan theta = 4 , show that ( 5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta) = (1)/(7)