Question

Draw each of the following angles in STANDARD position! (with directional arrows) two different graphs!1. theta = -138 degrees 2. theta= 9pi/5 clearly label the exact value of the reference angle!

Answer 1

For theta equal to - 138 degrees, the angle is:

Now, for theta equal to 9*Pi/5, we need to convert this value in radians into degrees, that is

$\frac{9\pi}{5}rad=\frac{9\pi}{5}rad(\frac{180}{\pi rad})$

which gives

$\begin{gathered} \frac{9\pi}{5}rad=(\frac{9\times180}{5})\text{degrees} \\ \frac{9\pi}{5}rad=324\text{ degre}es \end{gathered}$

then, in this case the angle is represented as