Question

what are the steps to use trig to find missing side or angle of right triangles.

Answer 1

Explanation

If we are to find the missing side or angle of a right triangle

We will make use of the following

So if we have the right triangle

For the above right triangle, if we are to find the missing angle, we will apply the steps above

$\begin{gathered} sin\theta=\frac{a}{c} \\ \\ cos\theta=\frac{b}{c} \\ \\ tan\theta=\frac{a}{b} \end{gathered}$

To find the missing sides

$\begin{gathered} a=\sqrt{c^2-b^2} \\ b=\sqrt{c^2-a^2} \\ c=\sqrt{a^2+b^2} \end{gathered}$