which of the following represents the measures of all angles coterminal with a 418° angle?\n360 + 58n, for…

which of the following represents the measures of all angles coterminal with a 418° angle?\n360 + 58n, for any whole number n\n58 + 360n, for any integer n\n58 + 360n, for any whole number n\n360 + 58n, for any integer n

which of the following represents the measures of all angles coterminal with a 418° angle?\n360 + 58n, for any whole number n\n58 + 360n, for any integer n\n58 + 360n, for any whole number n\n360 + 58n, for any integer n

Answer

Explanation:

Step1: Find the reference angle

Subtract 360° from 418°: $418 - 360=58^{\circ}$.

Step2: Recall coterminal - angle formula

Coterminal angles of an angle $\theta$ are given by $\theta + 360n$, where $n$ is an integer. Here $\theta = 58^{\circ}$, so the coterminal angles are $58+360n$, where $n$ is an integer.

Answer:

B. $58 + 360n$, for any integer $n$