Question

show that tan² tita - sin² tita = tan² tita × sin² tita​

Answer 1

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Answer 2

Que:-

Show that , tan²A - sin²A = tan²A × sin²A

Proof:-

L.H.S.

=) tan²A - sin²A

=) sin²A/cos²A - sin²A

=) [ ( sin²A - sin²A. cos²A)/ cos²A]

=) [ sin²A ( 1- cos²A)/cos²A ]

=) tan²A . sin²A

=) tan²A × sin²A

Hence Proved!

Identity Used:-

( 1 - cos²A) = sin²A