Question

Find the reference angle for a rotation of 334º.

Answer 1

We are asked to find the reference angle for a standard angle of 334°

Recall that the reference angle is the angle that is measured with respect to the x-axis.

First, we need to find out in which quadrant the given standard angle lies.

334° lie in the 4th quadrant (180° to 360°)

So, the reference angle can be found as

`\begin{gathered} \theta^(\prime)=360\degree-\theta \\ \theta^(\prime)=360\degree-334\degree \\ \theta^(\prime)=26\degree \end{gathered}`

Therefore, the reference angle is 26°