Question

(1 - cos A )( 1 + sec A) = tan A sin A​

Answer 1

Solution :

To prove >>

( 1 - cos A)( 1 + sec A) = tan A sin A

LHS :

> (1-cosA)(1+secA)

> 1 + sec A - cos A - cos A sec A

> 1 + 1/cos A - cos A - cos A/cosA

> 1 + 1/cos A - cos A - 1

> 1/cosA - cosA

> 1-cos²A/cosA

> sin²A/cosA

> ( sinA/cos A) × sin A

> sin A tan A

Hence Proved

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Answer 2

☆Answered by Rohith kumar .R.

Solution :-

☆To prove :-

tanA sinA?

☆Proof:-

=(1-cos A) (1+secA)

=1+secA-cosA-cosAsecA

=1+1/cosA-cos A-cosA/cosA

=1+cosA - cosA -1

=1/cosA-cosA

=1-cos ^2A/cosA

=sin ^2A/ cos A

=sinA/cosA)×sinA

=sinA tanA

Hence tge equation is proved .

Hope it helps u mate.

Thank you.