Question

prove the following identity 1 + 2sec^2 a tan^2 a - sec ^4 a - tan ^4 = 0

Answer 1

Hey..!!!!

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Let me take the angle as A

So sec^4A - sec^2A = sec^2A( sec^2A -1 )

                                    = sec^2A tan^2A

                                    =(tan^2A+ 1) tan^A

                                    = tan^4 + tan^2 

  Hence LHS= RHS

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I Hope It's help you..!!!!