Question #c9323

2 Answers
Nov 21, 2017

Below.

Explanation:

Multiply both numerator and denominator by 1-sin(a)

( [1+sin(a)] * [1-sin(a)])/(cos(a) * [1-sin(a)])

= (1-sin^2(a))/(cos(a) [1-sin(a)])

Convert 1-sin^2(a) to cos^2(a)

(cos^cancel(2)(a))/(cancel(cos(a))[1-sin(a)])

=cos(a)/(1-sin(a))

Nov 21, 2017

Please see Explanation.

Explanation:

We have, 1-sin^2a=cos^2a.

:. (1+sina)(1-sina)=(cosa)(cosa).

:. (1+sina)/cosa=cosa/(1-sina).