Prove `: cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta`

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tan theta - cot thetasin theta cos theta = sec^2 theta - cosec^2 theta = tan^2 theta - cot^2 theta tan theta - cot thetasin theta cos theta = sec^2 theta - cosec^2 theta = tan^2 theta - cot^2 theta
tan theta- cot theta/sin theta cos theta = sec^2 theta - cosec^2 theta = tan^2 theta - cot^2 theta tan theta- cot theta/sin theta cos theta = sec^2 theta - cosec^2 theta = tan^2 theta - cot^2 theta
Prove: `cot^(2)theta- tan^(2) theta=cosec^(2)theta-sec^(2)theta`. Prove: `cot^(2)theta- tan^(2) theta=cosec^(2)theta-sec^(2)theta`.
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Prove (sin theta + cosec theta)^2 + (cos theta + sec theta)^2= 7 + tan^2 theta + cot ^2 theta Prove (sin theta + cosec theta)^2 + (cos theta + sec theta)^2= 7 + tan^2 theta + cot ^2 theta