Question

question 5 of 30
on a unit circle, \\( \theta = \pi \\) radians. identify the terminal point and \\( \sin \theta \\).
a. terminal point: \\( (0,-1) ; \sin \theta=-1 \\)
b. terminal point: \\( (-1,0) ; \sin \theta=-1 \\)
c. terminal point: \\( (0,-1) ; \sin \theta=0 \\)
d. terminal point: \\( (-1,0) ; \sin \theta=0 \\)

Explanation:

Step1: Find terminal point coordinates

On unit circle, terminal point for $\theta=\pi$ is $(\cos\pi, \sin\pi)=(-1,0)$.

Step2: Calculate $\sin\theta$

$\sin\pi=0$.

Answer:

D. Terminal point: (-1, 0); sin θ = 0