If=20=(cos theta,5in theta)," find "[[z-(1)/(2)]]

If z= (cos theta, sin theta) , find (z-(1)/(z))

If z = (cos theta, sin theta) , find (z - 1/z)

Let z_(1)=r_(1)(cos theta_(1)+i sin theta_(1)) and z_(2)=r_(2)(cos theta_(2)+i sin theta_(2)) be two complex numbers then prove the following

If n is an integer and z=cos theta+i sin theta , then (z^(2 n)-1)/(z^(2 n)+1)=

If 3cos theta=5sin theta, then find the value of 5sin theta-2sec^(3)theta+2cos theta5sin theta+2sec^(3)theta-2cos theta

If a = cos theta + isin theta , then find the value of (1 +a)/(1-a) then z = - ibar(z) .

If 7 cos theta+5 sin theta = 5 , then find the value of 5 cos theta-7 sin theta .

If z_(1) and z_(2) are two nonzero complex numbers and theta is a real number, then (1)/(|z_(1)|^(2) + |z_(2)|^(2))[|(cos theta)z_(1) - (sin theta)z_(2)|^(2) + |(sin theta)z_(1) + (cos theta) z_(2)|^(2) ] is equal to ________

If z=1-cos theta+i sin theta, then |z|=2(sin theta)/(2) b.2(sin theta)/(2)c.2|(sin theta)/(2)|d.2|(cos theta)/(2)|