Speed Trig Unit Circle

In which quadrant are ALL trig functions positive?

In which quadrants are SINE functions positive?

In which quadrants are TANGENT functions positive?

Place the labels where they belong on the unit circle.

Using θ as a reference angle, mark the triangle sides as Opp, Adj, and Hyp. Label these on the triangle on your paper.

The Unit Circle has four quadrants such that:

Now, use the given triangle to represent $$\sin\theta$$ and $$\cos\theta$$ in terms of the variables given in the diagram.

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)  

Suppose you know that for a particular angle, $$\cos\theta=\frac{4}{5}$$ . The related triangle is shown.

If this triangle were superimposed on a circle so that the vertex of $$\theta$$ was the center of the circle, what would be the radius of the circle?

(a)  

In which quadrants are COSINE functions positive?