Sin²a+sin²a.tan²a=tan²a
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Given,
LHS= sin²a+sin²a×tan²a
RHS=tan²a
LHS
=sin²a+sin²a×tan²a
=sin²a(1+tan²a)
=sin²a×sec²a
=sin²a×1/cos²a
=sin²a/cos²a
=tan²a
LHS =RHS
Hence proved.
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