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 \(-\dfrac{\sqrt{3}}{3}\)
