Tangent Values on Unit Circle Radians

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)  

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 .

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.

The tangent function can be found using which of the following?

What is the tangent value of the angle 3π/2 on the unit circle?

Based on the unit circle, what is the value of tan?

What is the tangent value of the angle 2π/3 on the unit circle?

tan(0^o)

tan 90