Question

PLEASE HELP URGENT MY MOM WILL GROUND ME IF I DONT FINISH THIS LOL

What coordinates on the unit circle are associated with the angle measure?

Drag coordinates into each box to match the angle measure.

Answer 1

Step-by-step explanation:

Hope it helps you in your learning process.

Answer 2

$\frac{23\pi}{3}$ corresponds to  $\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$.

$-\frac{3\pi}{4}$  corresponds to $\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$.

-150 degree corresponds to  $\left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right)$.

Rewrite as:

$\frac{23\pi}{3}=\frac{18\pi+5\pi}{3}=6\pi+\frac{5\pi}{3}$.

We know that $\frac{5\pi}{3}$ corresponds to $\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$. So $\frac{23\pi}{3}$ also corresponds to  $\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$.

$-\frac{3\pi}{4}$ has same position as: $-\frac{3\pi}{4}+2\pi=\frac{5\pi}{4}$.

So the corresponding point to it is $\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$.

From unit circle 150 degree corresponds to $\left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right)$.

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