Unit Circle Radians Quiz: All Quadrants

Question 1

On the unit circle, what is the point $(\cos 	heta, \sin 	heta)$ for $	heta=\frac{\pi}{3}$?

Accepted Answer

$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

Answer

$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$

Answer

$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

Answer

$\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$

Question 2

Using ASTC, which statement is true in Quadrant II?

Accepted Answer

Only $\sin	heta$ is positive.

Answer

Both $\sin	heta$ and $\cos	heta$ are positive.

Answer

Only $	an	heta$ is positive.

Answer

Only $\cos	heta$ is positive.

Question 3

A Ferris wheel seat makes an angle of $	heta=\frac{7\pi}{4}$ from the positive x-axis, measured from the center. If the wheel has radius 10 m, what is the seat’s y-coordinate (height relative to the center)?

Accepted Answer

$-5\sqrt{2}$

Answer

$5\sqrt{2}$

Answer

$5$

Answer

$-\frac{\sqrt{2}}{2}$

Unit Circle Radians Quiz: All Quadrants

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