Question

using a calculator find tan theta if sec theta=-2.24

Answer 1

Well \[
\sin(\theta)=-\frac{1}{2.24}
\]

Answer 2

You can find the top side using Pythagorean theorem.

Answer 3

Tangent is left side / top side

Answer 4

\[
\tan(\theta)=-\frac{1}{\sqrt{(2.24)^2-1^2}{}}
\]

Answer 5

I found it out by using the identity "1+tan^2=sec^2".

Answer 6

Oh, that works.