Question

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Answer 1

Answer:

If we differentiate it ,

Derivative =  cos x d sin x - sin x d cos x  / cos ^2 x

                  =  cos^2 x  + sin^2 x/ cos^2 x

                   = 1/ cos ^2 x

                    = sec^2 x

Now we know that tan x 's derivative is sec ^2 x and now we proved it .

I hope it helps .