Question

which angle is coterminal with 390°? 60° -330° -30°

Explanation:

Step1: Recall coterminal angles formula

Coterminal angles formula: \(\theta\pm360^{\circ}n\), \(n\in\mathbb{Z}\).

Step2: Calculate for \(n = 1\)

Subtract \(360^{\circ}\) from \(390^{\circ}\): \(390^{\circ}-360^{\circ}=30^{\circ}\).

Step3: Calculate for \(n = 2\)

\(390^{\circ}-2\times360^{\circ}=390^{\circ} - 720^{\circ}=-330^{\circ}\).

Answer:

\(-330^{\circ}\)