Blank Unit Circle

Fill in the blanks with the appropriate x/y coordinate AND the angle in degrees

Find the ordered pair on the unit circle for the angle…. 

(___,___)

Find the ordered pair on the unit circle for the angle…. 

(___,___)

Find the ordered pair on the unit circle for the angle…. 

(___,___)

The graph shows the unit circle with angles $$x$$ and $$\pi-x$$ .

What is the exact measure, in radians, of angle $$\pi-x$$ ? Write your answer in terms of .

A unit circle is shown. Choose the correct point where the terminal side of an angle with radian measure $$\frac{4\pi}{3}$$ will intersect the circle.

A central angle in the unit circle measures θ radians, and  $$\sin\theta=\frac{\sqrt[]{2}}{3}$$ . One ray of the angle intersects the circle at (1, 0).

For each quadrant, determine if the terminal side of the angle could be in that quadrant. Select Yes or No for each quadrant.

Quadrant I ​ (a)  

Quadrant II ​ (b)  

Quadrant III ​ (c)  

Quadrant IV ​ (d)  

Let θ represent an angle on the unit circle, with $$0\le\theta\le\frac{\pi}{2}$$ , such that $$\tan\theta=\frac{\sqrt[]{3}}{3}$$ . Drag and drop the correct answer into each blank. $$\sin\left(3\theta\right)=$$ ​ (a)   $$\cos\left(-4\theta\right)=$$ ​ (b)  

A central angle of the unit circle has measure θ such that  $$\sin\theta=-\cos\left(\frac{2\pi}{3}\right)$$ .

On the unit circle below, select TWO possible points where the terminal side of the angle may intersect the circle.

Based on the side length ratio in a 30°-60°-90° or 45°-45°-90° triangle and the symmetry of the unit circle, use the drop-down arrows to choose the response that makes each statement true.

The ​ (a)   of ​ (b)   and ​ (c)   are each equal to $$\sqrt[]{3}$$ .​

First blank is (sine/cosine/tangent). Then place the smaller of the two correct angles first.