multiple choice 1 point\ngive the exact value.\n$\tan \frac{pi}{4}$\n$sqrt{2}$\n1\n$\frac{sqrt{2}}{2}$\n$\fra…
multiple choice 1 point\ngive the exact value.\n$\tan \frac{pi}{4}$\n$sqrt{2}$\n1\n$\frac{sqrt{2}}{2}$\n$\frac{sqrt{3}}{2}$
Answer
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