In order to find the exact value of this trigonometric function, we need to know the sine and cosine of some notable values, which are 30°, 45° and 60°.
The values are shown in the table below:
Now, to calculate the tangent, we just need to divide the sine and cosine:
[tex]\tan60°=\frac{\sin60°}{\cos60°}=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\sqrt{3}[/tex]
