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Prove the following identity: (sqrt (1 - (cos^2 ) t ) * sqrt ((sec^2)  t - 1)) / cos t = (tan^2)  t

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We have to prove: (sqrt (1 - (cos t)^2) * sqrt ((sec t )^2) - 1)) / cos t = (tan t)^2

(sqrt (1 - (cos t)^2) * sqrt ((sec t )^2) - 1)) / cos t

=> (sqrt (sin t)^2 * sqrt ( 1/ (cos t)^2) - 1) / cos t

=> ((sin t) * sqrt ( 1/ (cos t)^2...

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