Question

$4) question$
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Answer 1

Step-by-step explanation :

$= cot^2 \theta-tan^2 \theta \\\\ = cosec^2 \theta-1-[sec^2 \theta-1] \\\\ =cosec^2 \theta-1-sec^2 \theta +1 \\\\ =cosec^2 \theta -sec^2 \theta$

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$=> cosec^2 \theta-cot^2 \theta=1 \\ cot^2 \theta=cosec^2 \theta-1 \\\\ => sec^2 \theta-tan^2 \theta=1 \\ tan^2 \theta=sec^2 \theta-1$