Use the even-odd properties to find the exact value of the expression. Do not use a calculator.
-$\sin \left( - \frac { \pi } { 4 } \right)$
A) $\frac { \sqrt { 3 } } { 2 }$
B) $- \frac { \sqrt { 3 } } { 2 }$
C) $- \frac { \sqrt { 2 } } { 2 }$
D) $\frac { \sqrt { 2 } } { 2 }$

Question

Quizplus · Accepted Answer

Sine is an odd function, so $\sin(-x) = -\sin(x)$. Therefore, $\sin \left( - \frac { \pi } { 4 } \right) = -\sin \left( \frac { \pi } { 4 } \right) = - \frac { \sqrt { 2 } } { 2 }$.

Use the Even-Odd Properties to Find the Exact Value of the Expression