Show that `e^(2m itheta)((icottheta+1)/(i cottheta-1))^m=1.`

((1-tantheta)/(1-cottheta))^(2)+1=

If "cosec"theta=2 , show that (cottheta+(sintheta)/(1+costheta))=2 .

(cottheta-cosectheta+1)/(cottheta+cosectheta-1) = ?

z_2/z_1 = (A) e^(itheta) cos theta (B) e^(itheta) cos 2theta (C) e^(-itheta) cos theta (D) e^(2itheta) cos 2theta

i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1

Find the value of ((1)/(costheta)+(1)/(cottheta))((1)/(costheta)-(1)/(cottheta)) .

z_1/z_2= (A) cos2theta e^(2itheta0 (B) sec2thetae^-2itheta) (C) cos^2thetae^(2itheta) (D) sec^2theta e^(-2itheta0

(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta=sectheta"cosec"theta+1

Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cottheta

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)