Question

prove that tan^2A×cos^2A=1-cos^2A

Answer 1

Question : Prove that tan²A × cos² A = 1 - cos²A

GIVEN :

tan²A × cos² A

TO PROVE :

1 - cos² A

SOLUTION :

From LHS,

= tan²A × cos²A

We know that,

tan²A = sin²A/cos²A

= sin²A/cos²A × cos²A

= sin²A

We know that,

Sin²A = 1 - cos²A

= 1 - cos²A

Hence, Proved !!