which of the coordinates is equal to $\sin(200^{\circ})$?
choose 1 answer:
$\bigcirc$ $x$-coordinate of point $a$
$\bigcirc$ $y$-coordinate of point $a$
$\bigcirc$ $x$-coordinate of point $b$
$\bigcirc$ $y$-coordinate of point $b$
$\bigcirc$ $x$-coordinate of point $c$
$\bigcirc$ $y$-coordinate of point $c$

Question

Accepted Answer

# Explanation:
## Step1: Determine quadrant of 200°
200° = 180° + 20°, so it's in Quadrant III.
## Step2: Relate sin(θ) to coordinates
On unit circle, sin(θ) = y-coordinate of the point at θ.
## Step3: Identify point in Quadrant III
Point B is in Quadrant III; its y-coordinate is negative, matching sin(200°) < 0.

# Answer:
D. y-coordinate of point B

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QUESTION IMAGE

Question

Explanation:

Step1: Determine quadrant of 200°

Step2: Relate sin(θ) to coordinates

Step3: Identify point in Quadrant III

Answer: