Question

what is the value of the y-coordinate of point a? choose 1 answer: a \\(\sin(0^{\circ})\\) b \\(\cos(0^{\circ})\\) c \\(\sin(90^{\circ})\\) d \\(\cos(90^{\circ})\\) e \\(\sin(270^{\circ})\\) f \\(\cos(270^{\circ})\\)

Explanation:

Step1: Identify position of point A

Point A is on the unit circle at 270°.

Step2: Relate y-coordinate to trigonometric function

On unit circle, y-coordinate = $\sin(\theta)$ where $\theta$ is the angle.

Step3: Match with options

For $\theta=270^\circ$, y-coordinate = $\sin(270^\circ)$.

Answer:

E. $\sin(270^{\circ})$