`cosec^4 theta-cot^4 theta=cosec^2theta+cot^2 theta`

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

(1)/(cosec theta+cot theta)=cosec theta-cot theta

Prove that cot^4 theta+ cot^2 theta= cosec^4 theta-cosec^2 theta

(1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

x=a cosec theta+b cot theta, y=a cosec theta-b cot theta . Then, ((x+y)/(a))^(2)-((x-y)/(b))^(2)=4

int(cosec theta-cot theta)/(cosectheta+ cot theta)d theta=

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .

Prove that (1+cosec theta -cot theta)/(1+cosec theta+cot theta)=(1-cos theta)/sin theta.

Prove the following identity : 2 sec^2 theta- sec^4 theta-2 cosec^2 theta+ cosec^4 theta= cot^4 theta-tan^4 theta .