Question

using the unit circle, determine the value of sin 450°. a) 1 b) 0 c) -1 d) 1/2 question 11 (5 points)

Explanation:

Step1: Reduce the angle

Since the sine - function is periodic with a period of 360°, we can find an equivalent angle between 0° and 360°. Subtract 360° from 450°: $450 - 360=90^{\circ}$.

Step2: Recall the unit - circle definition of sine

On the unit circle, for an angle $\theta$, $\sin\theta$ is the y - coordinate of the point where the terminal side of the angle intersects the unit circle. For $\theta = 90^{\circ}$, the point of intersection is $(0,1)$. So, $\sin90^{\circ}=1$.

Answer:

A. 1