Trigonometric Functions Math Example 2

Solution

1. 1
   $\frac{5\pi}{4}$ is in the third quadrant with reference angle $\frac{\pi}{4}$ (i.e., $45°$).
2. 2
   In the third quadrant, both sine and cosine are negative, so tangent is positive.
3. 3
   $\tan\left(\frac{5\pi}{4}\right) = \tan\left(\frac{\pi}{4}\right) = 1$.