$\sin \left( - 135 ^ { \circ } \right)$
A) $\frac { \sqrt { 2 } } { 2 }$
B) $\frac { \sqrt { 3 } } { 2 }$
C) $\frac { 1 } { 2 }$
D) $- \frac { \sqrt { 2 } } { 2 }$

Question

Quizplus · Accepted Answer

The sine of an angle in the fourth quadrant (like -135°, which is equivalent to 225°) is negative, and since the reference angle is 45°, the sine value is $-\frac{\sqrt{2}}{2}$.

sin⁡(−135∘)\sin \left( - 135 ^ { \circ } \right)sin(−135∘) A) 22\frac { \sqrt { 2 } } { 2 }22​​

$\sin \left( - 135 ^ { \circ } \right)$ A) $\frac { \sqrt { 2 } } { 2 }$