Question

prove the given identity


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Answer 1

Answer:

( 1/cos theta  + 1)(1/cos theta  -1) = sin^2 theta /(1- sin^2 theta ) .

Step-by-step explanation:

We know that, sec^2 theta -1 = tan^2 theta and cos^2 theta = 1-sin^2 theta

Now,

( 1/cos theta  + 1)(1/cos theta  -1) = (sec theta +1)(sec theta -1) = (sec^2 theta -1) = tan^2 theta = sin^2 theta / cos^2 theta = sin^2 theta /(1- sin^2 theta )