Question

How do you simplify cscx*secx-tanx?

Answer 1

= ( 1 / cos x ) * ( cos x / sin x ) = ( 1 / sin x ) = csc x

Answer 2

Re-writing csc x and sec x in terms of sin x (in the first case) and in terms of cos x (in the second) might help. Try it, please.

@manguitar: Please justify your answer. Not sure I agree with what you're doing.

Answer 3

No, I'm done. BTW It doesn't matter to me if you agree with what I'm doing.

Answer 4

Right...so

\[\large \csc(x) = \frac{1}{\sin(x)}\]
\[\large \sec(x) = \frac{1}{\cos(x)}\]
\[\large \tan(x) = \frac{\sin(x)}{\cos(x)}\]
Does that help at all?

Answer 5

So we have

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

Answer 6

Yes, Thank you!