Question

(sec A + tan A)(1-sinA)

Answer 1

Here is your answer:::

Answer 2

Answer :

(sec A + tan A)(1-sinA)

=  (1/cos A + sin A/cos A)(1-sinA)   [ Sec A  = 1/ Cos A , Tan A = Sin A / Cos A }

=  (1+sinA)/cosA](1-sinA)

=  (1+sinA)(1-sinA)/cosA

=  (1-sin^2 A)/cosA

=  (cos^2 A)/cos A

=  cos A

Hence The answer is Cos A