Question

write an expression describing all the angles that are coterminal with 86°. (please use the variable k in your answer. give your answer in degrees, but do not include a degree symbol in your answer.)

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles can be found by adding or subtracting multiples of \(360^{\circ}\). The general formula for coterminal angles of an angle \(\theta\) is \(\theta + 360k\), where \(k\in\mathbb{Z}\) ( \(k\) is an integer).

Step2: Substitute the given angle into the formula

Given \(\theta = 86\), substituting into the formula \(\theta+360k\), we get \(86 + 360k\).

Answer:

\(86+360k\)