Six Trigonometric Values in a Unit Circle

Find the exact values of the six trigonometric functions of the given angle. Do not use a calculator.

390°

The point given below is on the terminal side of an angle θ in standard position. Find the exact value of each of the six trigonometric functions of θ.

(10,−24)

What is the length of the hypotenuse of the triangle? (Think about it as a radius)

OP= (a)  

Label OP on your paper.

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)  

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)  

-√3/2

-½

-√2/2

-1

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