Question

are the standard position angles measuring 228° and 588° coterminal? your answer (input yes or no) is : question help: worked example 1

Explanation:

Step1: Recall the formula for coterminal angles

Two angles \(\alpha\) and \(\beta\) are coterminal if \(\beta-\alpha = 360^{\circ}n\), where \(n\in\mathbb{Z}\) ( \(n\) is an integer). Let \(\alpha = 228^{\circ}\) and \(\beta=588^{\circ}\). Then calculate \(\beta - \alpha\).

$$ \beta-\alpha=588^{\circ}-228^{\circ} $$

Step2: Simplify the expression

$$ 588^{\circ}-228^{\circ}=360^{\circ} $$

Since \(360^{\circ}=360^{\circ}\times1\) and \(n = 1\in\mathbb{Z}\)

Answer:

yes