Question

what is the value of sine of $\boldsymbol{\theta}$ when $\boldsymbol{\theta = 180^\circ}$? (1 point)
$\bigcirc$ $-1$
$\bigcirc$ $1$
$\bigcirc$ $\frac{1}{2}$
$\bigcirc$ $0$

Explanation:

Step1: Recall the unit circle values

The sine function \( \sin(\theta) \) gives the y - coordinate of the point on the unit circle corresponding to the angle \( \theta \). For \( \theta = 90^\circ\) (or \( \frac{\pi}{2}\) radians), the point on the unit circle is \( (0,1) \).

Step2: Determine \( \sin(90^\circ) \)

Since the y - coordinate of the point on the unit circle at \( \theta = 90^\circ\) is 1, we have \( \sin(90^\circ)=1 \).

Answer:

1 (corresponding to the option with value 1)