Question

Simplify completely the trigonometric expression.
(1-sinx/cosx) + (cosx/1-sinx)

Answer 1

\[\frac{1-\sin x}{\cos x} + \frac{\cos x}{1-\sin x}\]?

Answer 2

yes, trying to figure out how to simplify that.

Answer 3

(1-sinx)^2 + cos^2x
--------------------------
cosx(1-sinx)

1+sin^2x+cos^2x-2sinx
--------------------------------
cosx(1-sinx)

2-2sinx
----------
cosx(1-sinx)

2(1-sinx)
------------
cosx(1-sinx)

2
---
cosx

Answer 4

aww yea, k, i got that answer too. Thx.