Prove that Sec A (1-sin A)(sec A+ tan A) = 1

Answers

Question :

Prove that Sec A (1-sin A)(sec A+ tan A) = 1Submitted on 7/2/2024 | Answered by Vandana Rana

Answer :

L.H.S =Sec A (1- sinA)(sec A +tan A)
=1/cos A(1-sin A)(1/cos A+sin A/cos A)
=1/cos A(1-sin A)(1+sin A)/cos A
=(1-sin² A)/cos² A
=cos²A/cos²A
=1
1
=R . H. S.
=L. H. S=R. H. S.