# Math Help - Trig Identities

1. ## Trig Identities

Hello just got a couple problems I'm stuck on. Seeking some help.

csc^-1x = sin^-1 (1/x)

and

sec^-1(x) = cos^-1 (1/x)

2. Let $y = \sin^{-1} x$.

So:
$\sin y = x$
$\frac{1}{\sin y} = \frac{1}{x}$
$\csc y = \frac{1}{x}$
$y = \csc^{-1} \left(\frac{1}{x}\right)$

3. Would the second question have the same set up as the previous.

Show that the following identity is true
sec-1x = cos-1 (1/x)

let y= cos^-1

cosy=x

1/cosy=1/x

secy=1/x

y= sec^-1 (1/x)

4. Yep. Don't doubt yourself!

5. Thanks. I will work on that not doubting myself part as I continue to work through some more of these.