If z = 1 - cos `theta`+ `i` sin `theta` , then |z| =

If z = (1)/(1 - cos theta - i sin theta), the Re (z)=

If z = 1 -cos theta+ isin theta then |z| is equal to

If z= r (cos theta + i sin theta) , then the value of (z)/(bar(z)) + (bar(z))/(z) is

If z = (3)/( 2 + cos theta + I sin theta) , then prove that z lies on the circle.

If z = (3)/( 2 + cos theta + I sin theta) , then prove that z lies on the circle.

If z=(1)/(1-cos theta-i sin theta), then Re(z) is a.0 b.(1)/(2) c.cot((theta)/(2)) d.(1)/(2)cot((theta)/(2))

If z=1/(1-cos theta-i sin theta), then Re(z) is a. 0 b. 1/2 c. cot(theta/2) d. 1/2 cot (theta/2)

If (1 + z)/(1 - z) = cos 2theta + i sin 2theta , show that z = i tan theta .