Question

Simplify: cosx(secx-cosx)/sinx

Answer 1

\[\sec(x) = \frac{ 1 }{ \cos(x) }\]

Answer 2

also: \(1-\cos^2(x) = \sin^2(x)\)

Answer 3

well write it as

\[\frac{\cos(x)(\frac{1}{\cos(x)} - \frac{1}{\sin(x)})}{\sin(x)}\]

and it becomes a little easier

Answer 4

Why did you write: \(\frac{ 1 }{ \sin(x) }\) ? That's csc(x).

Answer 5

thank you for catching that. Is the answer sin(x)?

Answer 6

sin(x) is correct.

Answer 7

Thank You!!!