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

`(9\pi)/(5)rad=(9\pi)/(5)rad((180)/(\pi rad))`

which gives

`\begin{gathered} (9\pi)/(5)rad=((9*180)/(5))\text{degrees} \\ (9\pi)/(5)rad=324\text{ degre}es \end{gathered}`

then, in this case the angle is represented as