Question

prove (secA +tanA) (1-sinA) =cosA​

Answer 1

Answer:

(secA+tanA) (1-sinA)=cosA

=(1/cosA+sinA/cosA) (1-sinA)

=(1+sinA/cos A) (1-sinA)

=(1+sin A) (1-sin A)/cos A

=(1-sin ^2 A)/cosA

=cos^2A/cos A=cos A

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

Hence the anwer is cos A