Question

Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?

A. 1/(cscx + sinx)
B. sinx + 1
C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answer 1

multiply the denominator by its conjugate (1-sinx)/(1-sinx)

Explanation:

[sinx (1-sinx)] / [(1+sinx)(1-sinx)]

Answer 2

C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))