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Prove the identity ((1-tan theta)/(1-c...

Prove the identity
`((1-tan theta)/(1-cot theta))^(2)=tan^(2)theta`

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Prove that : (1-tan^(2)theta)/(cot^(2)theta-1)=tan^(2)theta

Prove the identities : (1+tan^2 theta) (1-sin theta) (1+sin theta) =1

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

Prove the identities: (1+cot theta - cosec theta) (1+ tan theta + sec theta)=2

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

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + sec theta cosec theta

Prove that (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta) = (sec theta cosec theta +1)

Solve 2 tan theta-cot theta=-1 .

Prove that 1/(1+tan^2theta)+1/(1+cot^2theta) =1

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

ICSE-MATHEMATICS-2020 -SECTION-B
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  17. Prove the identity ((1-tan theta)/(1-cot theta))^(2)=tan^(2)theta

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