Choose the one alternative that best completes the statement or answers the question.
Use the even-odd properties to find the exact value of the expression. Do not use a calculator.
-$\cot \left( - \frac { \pi } { 4 } \right)$
A) $- \frac { \sqrt { 3 } } { 3 }$
B) $- \sqrt { 3 }$
C) 1
D) $- 1$

Question

Quizplus · Accepted Answer

The cotangent function is odd, so $\cot(-x) = -\cot(x)$. Since $\cot\left(\frac{\pi}{4}\right) = 1$, $\cot\left(-\frac{\pi}{4}\right) = -1$.

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