Find the exact value of the function. Rationalize the denominator if necessary.
-tan 330°
A) $- \sqrt { 3 }$
B) $- 2$
C) $\frac { 2 \sqrt { 3 } } { 3 }$
D) $- \frac { \sqrt { 3 } } { 3 }$

Question

Find the exact value of the function. Rationalize the denominator if necessary.
-tan 330° 
A) $- \sqrt { 3 }$
B) $- 2$
C) $\frac { 2 \sqrt { 3 } } { 3 }$
D) $- \frac { \sqrt { 3 } } { 3 }$

Quizplus · Accepted Answer

The angle 330° is in the fourth quadrant where tangent is negative. The reference angle is 30°, and tan(30°) = 1/√3, which rationalizes to √3/3. Therefore, tan(330°) = -√3/3.

Find the Exact Value of the Function −3- \sqrt { 3 }−3​

Find the Exact Value of the Function $- \sqrt { 3 }$