Question

sec^2A. Cosec^2 A - (tan^2 A +cot^2A)​

Answer 1

Answer:

Step-by-step explanation:

LHS=tan ^2 A+cot^2 A+2

=sin^2 A/cos^2 A+cos^2 A/sin^2 A+2

=(sin^4 A+cos^4A+2.sin^2 A. cos^2 A)/sin^2A. cos^2 A

=[(sin^2 A+cos^2 A) ^2] /sin^2A. cos^2 A

=[(1)^2] /sin^2 A. cos ^2 A

=1/sin^2 A. cos^2 A

=1/sin^2 A.1/ cos^2 A

=cosec^2 A. sec^2 A

=RHS

So, LHS=RHS(proved)

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