use the graph of the function y = tan x, below, to determine the value of y. tan(3π/4) answer: check

Explanation:

Step1: Recall tangent - angle relationship

The tangent function is defined as $\tan\theta=\frac{\sin\theta}{\cos\theta}$. For $\theta = \frac{3\pi}{4}$, we know that $\sin\frac{3\pi}{4}=\frac{\sqrt{2}}{2}$ and $\cos\frac{3\pi}{4}=-\frac{\sqrt{2}}{2}$.

Step2: Calculate the value of tangent

$\tan\frac{3\pi}{4}=\frac{\sin\frac{3\pi}{4}}{\cos\frac{3\pi}{4}}=\frac{\frac{\sqrt{2}}{2}}{-\frac{\sqrt{2}}{2}}=- 1$.

Answer:

$-1$