Question

\text { 3. (3 points) Given that } \tan \left(\frac{12 \pi}{5}\right)=\sqrt{5+2 \sqrt{5}} \text { , find all trigonometric functions of } \theta=\frac{12 \pi}{5} \text { . You do not }

need to rationalize your answers. (To solve this exercise in the right way, it is paramount that you determine the quadrant where 12n/5 is.)

Fig: 1

Fig: 2