Q. 10 - Precalculus Enhanced with Graphing Utilities

Question

 find the exact value of the expression 

$\tan (330°)$

Step-by-Step Solution

Answer

$\tan (330°)=- \frac{1}{\sqrt{3}}$

Step 1. Rewriting the expression

We know that 

$$\begin{gathered} \tan (2\mathrm{\pi }-\mathrm{x})=-\tan \left(\mathrm{x}\right) \\ So \tan (330°)=\tan (2\mathrm{\pi }-30)=-\tan \left(30\right) \end{gathered}$$

Step 2. Calculations

Now we get the expression as $$\begin{gathered} \tan (330°)=-\tan (30°) \\ So -\tan (30°)=-\frac{1}{\sqrt{3}} \end{gathered}$$