Question

(sec A + tan A) (1 − sin A) =
A. sec A
B. sin A
C. cosec A
D. cos A

Answer 1

Answer:

cos A is the answer...............

Answer 2

D. cos A

Step-by-step explanation:

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

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

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

= (1 - sin²A)/cosA

= (cos²A)/cos A

= cos A

Option D is the answer.