Question

answer the following. give exact values for your answers.

(a) find an angle between \\(0^{\circ}\\) and \\(360^{\circ}\\) that is coterminal with \\(600^{\circ}\\).

Explanation:

Define coterminal angles

$$ \theta_{\text{coterminal}} = \theta \pm 360^\circ \cdot k, \quad k \in \mathbb{Z} $$

Subtract full rotations

$$ 600^\circ - 360^\circ = 240^\circ $$

Verify the interval

$$ 0^\circ \le 240^\circ < 360^\circ $$

Answer:

(a) Find an angle between \(0^\circ\) and \(360^\circ\) that is coterminal with \(600^\circ\).
<blank>240</blank>\(^\circ\)