Question

give an expression that generates all angles coterminal with the given angle. -480° the correct expression is -480° + □°. (type an expression using n as the variable.)

Explanation:

Step1: Recall coterminal angle formula

Coterminal angles differ by multiples of \(360^\circ\). So for an angle \(\theta\), the general form of coterminal angles is \(\theta + n\cdot360^\circ\), where \(n\) is an integer.

Step2: Apply to given angle

Given angle is \(-480^\circ\). Substitute into the formula: \(-480^\circ + n\cdot360^\circ\), which can be written as \(-480^\circ + 360n^\circ\) (where \(n\) is the variable).

Answer:

\(360n\) (since the expression is \(-480^\circ+\square^\circ\) and we need to fill in \(360n\) to represent the multiple of \(360^\circ\) added, with \(n\) as the variable)