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Step-by-step explanation:
L.H.S= tan^2 theta + cot^2 theta
1+tan^2 theta. 1+ cot^2 theta
= tan^2 theta + cot ^2 theta.
sec^2 theta. cosec^2 theta
= tan^2 theta +. cot^2 theta.
1. 1
cos^2 theta sin^2 theta
= tan^2 theta*cos^2 theta+cot^2 theta*sin^2 theta
= sin^2 theta *cos^2 theta + cos^2 theta *sin^2 theta
cos^2 theta sin^2 theta
= sin^2 theta+ cos^2 theta
= 1
= R.H.S
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