Let `z=costheta+isintheta` . Then , the value of `sum_(m=1)^(15)I m(z^(2m-1))` at `theta=2^0` is `1/(sin2^0)` (b) `1/(3sin2^0)` `1/(2sin2^0)` (d) `1/(4sin2^0)`

Let z=cos theta+i sin theta then the value of sum_(m=1)^(30)Im(z^(2m-1)) at theta=2^(@) is.

Let z=cos theta+i sin theta. Then the value of sum_(m rarr1-15)Img(z^(2m-1)) at theta=2^(@) is: 1.(1)/(sin2^(@)) 2.(1)/(3sin2^(@))3*(1)/(sin2^(@))4*(1)/(4sin2^(@))

(b) sin^(2)theta-(1)/(2)sin theta=0

If 2sin^(2)theta+sqrt(3)costheta+1=0 , then the value of theta is

The value of lim_(xrarr0) {1^((1)/(sin^(2)x)+)2^((1)/(sin^(2)x))+3^((1)/(sin^(2)x))+.....+n^((1)/sin^(2)x)}^(sin^2x) , is

If cos theta + cos^2 theta = 1, then value of sin^2 theta + sin^4 theta is (a) -1 (c) 0 (c) 1 (d) 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 sin theta+csc theta=2, then the value of sin(theta)/(16)sin(theta)/(8)sin(theta)/(4)sin(theta)/(2)sin2 theta is 1 b.(1)/(sqrt(2)) c.-(1)/(sqrt(2)) d.0