tan² A cos² A = 1 – cos²A.
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STEP BY STEP EXPLANATION GIVEN IN THE ABOVE PIC
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Let me prove the question in a reverse manner
RHS (Right Hand Side)
=1 - cos^2A
=sin^2A+cos^2A-cos^A ( sin^2+cos^2=1)
=sin^2A
Now you multiply with cos^2A/ cos^2A
=sin^2A × cos^2A/cos^2A
=sin^2A/cos^2A×cos^2A
(tan^2A=sin^2A/cos^2A)
=tan^2A×cos^2A
= LHS
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