`1+tan^2theta+1+cot^2theta=sec^2theta+cosec^2theta`

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

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

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

Prove the following identity: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=(1-2sin^2thetacos^2theta)/(sintheta\ costheta)

Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthetacos e c\ theta-2sinthetacostheta

value of 1+cot^2theta options are 1] cot^2theta 2] cosec^2theta 3] o 4] sec^2theta

Prove that ((1+cot theta +tan theta)(sin theta - cos theta))/(sec ^3 theta -cosec^3 theta) = sin^2 theta cos^2 theta.

Prove that cot^(4)theta+cot^(2)theta="cosec"^(4)theta-"cosec"^(2)theta