How do you verify (sinx + cosx) / (sinx - cosx) = (secx + cscx) / (secx - cscx)?

1 Answer
Nov 4, 2015

Verify trig expression.

Explanation:

Transform the numerator of the right side:
1/(cos x) + 1/(sin x) = (sin x + cos x)/(sin x.cos x) (1).
Transform the denominator of the right side:
1/(cos x) - 1/(sin x) = (sin x - cos x)/(sin x.cos x) (2)
The right side becomes:
((sin x + cos x)/(sin x.cos x))((sin x.cos x)/(sin x - cos x))
= (sin x + cos x)/(sin x - cos x)