Question

question 7 of 10
what is \\(\tan 60^{\circ}\\)?

a. 1
b. \\(\frac{1}{\sqrt{3}}\\)
c. \\(\frac{1}{2}\\)
d. \\(\frac{\sqrt{3}}{2}\\)
e. \\(\frac{2}{\sqrt{3}}\\)
f. \\(\sqrt{3}\\)

Explanation:

Step1: Recall tangent definition

$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Identify sides for 60°

For $\theta=60^\circ$, opposite = $\sqrt{3}$, adjacent = 1

Step3: Calculate tan 60°

$\tan(60^\circ) = \frac{\sqrt{3}}{1} = \sqrt{3}$

Answer:

F. $\sqrt{3}$