Question

(sectheta+tantheta)(1-sintheta)

Answer 1

(1/costheta +sintheta/costheta)(1-sintheta)
(1+sintheta/costheta)(1-sintheta)
1-sin^2theta/costheta
cos^2theta/costheta
costheta is answer obtained

Answer 2

    solution

(sec∅+tan∅)(1-sin∅)

=(1/cos∅+sin∅/cos∅)(cos²∅)

=((1+sin∅)/cos∅)cos²∅

=(1+sin∅)cos∅

=cos∅+sin∅cos∅