Question

In a unit circle, 0 = 270°. Identify the terminal point and sin 0.

Answer 1

Answer:

terminal point is at (0, -1) and sin 0 = -1

Step-by-step explanation:

In a unit circle the radius of the circle is 1 so

- we know the points where the circle intersects the x-axis and y-axis as a (x , y) coordinates.

(1, 0) where we start on the positive x-axis and where angle is 0°

(0, 1) where we go counterclockwise and where angle is 90°

(-1, 0) where we go continue counterclockwise and where angle is 180°

(0, -1) where we stop in our problem because the angle is 270°

-we also know that x= cos O and y= sin O so the coordinates (x, y) are really

(cos O, sinO)

Given:

        0 = 270°

    sin 0 = sin 270°

sin 270°  =  -1

The terminal point is at (0, -1) and sin 0 = -1