Question

question 4 (1 point)
the co - terminal angles to an angleθ may be determined using the expression
a) θ + 360°×n, n ∈ i
b) θ - 360°×n, n ∈ ℝ
c) θ - 180°×n, n ∈ i
d) θ + 180°×n, n ∈ i

Explanation:

Step1: Recall the concept of co - terminal angles

Co - terminal angles are angles that have the same initial and terminal sides.

Step2: Analyze the formula for co - terminal angles

When we rotate an angle \(\theta\) by a full - circle ( \(360^{\circ}\) ) multiple times ( \(n\) times, where \(n\in I\) ( \(I\) represents the set of integers)), we get co - terminal angles. The formula for co - terminal angles is \(\theta\pm360^{\circ}\times n,n\in I\).

Answer:

A. \(\theta + 360^{\circ}\times n,n\in I\)