Question

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If

necessary, round your results to the nearest hundredth.
202⁰
a. (-0.93,-0.37)
b. (-0.37, -0.93)
56:2
c.
(1, -0.37)
d. (-0.93, 0)

Answer 1

a. (-0.93, -0.37)

Explanation:

A unit circle has its center at (0, 0) and a radius of 1.

The coordinates on the unit circle (x, y) are equivalent to (cos θ, sin θ), where θ is the angle (measured anticlockwise from the positive x-axis).

Therefore, given θ = 202°, the coordinates of the corresponding point on the unit circle are:

• x = cos 202° = -0.93 (nearest hundredth)
• y = sin 202° = -0.37 (nearest hundredth)

Therefore, the point on the unit circle is (-0.93, -0.37).

Answer 2

a. (-0.93,-0.37)

Explanation:

The unit circle is a circle with a radius of 1 that is centered at the origin (0, 0) of a coordinate plane. To find the coordinates of a point on the unit circle corresponding to a given central angle, we can use the relationship between the angle and the coordinates of the point.

For a central angle of 202 degrees, the point on the unit circle would be found by using the formula:

x = cos(202°)

y = sin(202°)

Rounding the results to the nearest hundredth, we have:

x = -0.927

y = -0.3746

So the coordinates of the point on the unit circle corresponding to the central angle of 202 degrees are (-0.93, -0.37).