Question

Evaluate without using a calculator: tan (330).

Answer 1

∠330° is in IV quadrant.
tan ( 330° ) = tan ( 2π - 30° ) = - tan ( 30 ° ) = -√3 /3 ( from the table of values of trigonometric functions )

Answer 2

Answer: The value of  tan (330°) is $-\dfrac{\sqrt{3}}{3}$

Step-by-step explanation:

Since we have given that

$\tan 330^\circ$

We need to find the above expression without using calculator:

since we can rewrite it as :

$\tan 330^\circ=\tan(360^\circ-330^\circ)=\tan (2\pi-30^\circ)=-\tan30^\circ$

As (2π-Ф) lies in the fourth quadrant, so the value of tangent must be negative.

so, it becomes,

$-\tan 30^\circ=-\dfrac{1}{\sqrt{3}}=-\dfrac{\sqrt{3}}{3}$

Hence, the value of  tan (330°) is $-\dfrac{\sqrt{3}}{3}$