Question

write an expression describing all the angles that are coterminal with 65°. please use the variable k in your answer. degrees question help: message instructor

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles can be found by adding or subtracting multiples of \(360^{\circ}\). The general formula is \(\theta + k\times360^{\circ}\), where \(\theta\) is the given angle and \(k\in\mathbb{Z}\) ( \(k\) is an integer).

Step2: Substitute the given angle into the formula

Given \(\theta = 65^{\circ}\), substituting into the formula \(\theta + k\times360^{\circ}\), we get \(65^{\circ}+k\times360^{\circ}\), where \(k\) is an integer.

Answer:

\(65 + 360k\)