Question

give an expression that generates all angles coterminal with the given angle. let n represent any integer. - 334° a. - 334° + 2nπ b. - 334° + n·360° c. - 334° + n·180° d. - 334° + n·90°

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles are angles that have the same initial and terminal sides. For an angle \(\theta\) in degrees, the formula for coterminal angles is \(\theta + n\cdot360^{\circ}\), where \(n\) is an integer.

Step2: Substitute the given angle into the formula

Given \(\theta=- 334^{\circ}\), substituting into the formula \(\theta + n\cdot360^{\circ}\) gives \(-334^{\circ}+n\cdot360^{\circ}\)

Answer:

B. \(-334^{\circ}+n\cdot360^{\circ}\)