Question

multiple choice 1 point
give the exact value.
$\tan \frac{pi}{4}$
$sqrt{2}$
1
$\frac{sqrt{2}}{2}$
$\frac{sqrt{3}}{2}$

Explanation:

Step1: Recall the tangent formula

$\tan\theta=\frac{\sin\theta}{\cos\theta}$. For $\theta = \frac{\pi}{4}$, $\sin\frac{\pi}{4}=\frac{\sqrt{2}}{2}$ and $\cos\frac{\pi}{4}=\frac{\sqrt{2}}{2}$.

Step2: Calculate the value

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

Answer:

1