Question

question 14 of 25
in a unit circle, \\( \theta = 180 ^ { \circ } \\). what is the terminal point?
a. \\( ( 0,1 ) \\)
b. \\( ( - 1,0 ) \\)
c. \\( ( 0, - 1 ) \\)
d. \\( ( 1,0 ) \\)

Explanation:

Step1: Recall terminal point formula

For unit circle, terminal point is $(\cos\theta, \sin\theta)$.

Step2: Calculate cosine of 180°

$\cos180^\circ = -1$

Step3: Calculate sine of 180°

$\sin180^\circ = 0$

Step4: Determine terminal point

Terminal point is $(-1, 0)$

Answer:

B. (-1, 0)