Find the exact value of the expression.
-cot 120°
A) $- 1$
B) $- \sqrt { 3 }$
C) $- \frac { \sqrt { 3 } } { 3 }$
D) $\frac { \sqrt { 3 } } { 3 }$

Name: Find the exact value of the expression. -cot 120° A) $- 1$ B) $- \sqrt { 3 }$ C) $- \frac { \sqrt { 3 } } { 3 }$ D) $\frac { \sqrt { 3 } } { 3 }$
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Question

Find the exact value of the expression.
-cot 120° 
A) $- 1$
B) $- \sqrt { 3 }$
C) $- \frac { \sqrt { 3 } } { 3 }$
D) $\frac { \sqrt { 3 } } { 3 }$

Quizplus · Accepted Answer

The angle 120° is in the second quadrant where cotangent is negative. The reference angle is 60°, and cot(60°) is $\frac{\sqrt{3}}{3}$. Therefore, cot(120°) is $-\frac{\sqrt{3}}{3}$.

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