Question

what is the value of tan(60°)?
○ 1/2
○ √3
○ √3/2
○ 1/√3

Explanation:

Step1: Recall tangent formula

$\tan\theta=\frac{\sin\theta}{\cos\theta}$

Step2: Know values for 60°

$\sin(60^{\circ})=\frac{\sqrt{3}}{2}$, $\cos(60^{\circ})=\frac{1}{2}$

Step3: Calculate tangent

$\tan(60^{\circ})=\frac{\sin(60^{\circ})}{\cos(60^{\circ})}=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\sqrt{3}$

Answer:

$\sqrt{3}$