`tan^2theta-cot^2theta=sec^2theta-cosec^2theta`

Prove the following identities: tan^2theta+cot^2theta+2=sec^2thetacos e c^2theta

What is the value of (tan^2theta-sec^2theta)/(cot^2theta-cos e c^2theta) ?

Prove the following identities: (tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta

Prove that tan^(2)theta+cot^(2)theta+2=sec^(2)theta cosec^(2)theta

Without expanding show that: = |(cose c^2theta,cot^2theta,1),(cot^2theta,cosec^2theta,-1) ,(42 ,40, 2)| =0

Without expanding show that: =|[cose c^2theta,cot^2theta,1],[cot^2theta,cosec^2theta,-1],[ 42, 40, 2]|=0

Prove the identity ("sin"theta+"cos"theta)("tan"theta+"cot"theta)="sec"theta+"cosec"theta

Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta+cosec^4 theta=cot^4theta-tan^4theta

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

prove that tantheta+cottheta = sqrt(sec^(2)theta+cosec^(2)theta)