Answer:
Choice D.
Explanation:
Another way to write 315 degrees is
[tex]315-360=-45[/tex]
In other words, when measured clockwise, 315 degrees = -45 degrees; therefore, our problem becomes
[tex]\sin 315^o=\sin -45^o[/tex]
since
[tex]\sin \theta=-\sin -\theta[/tex][tex]\sin 45=-\sin -45[/tex][tex]\frac{\sqrt[]{2}}{2}=-\sin -45[/tex][tex]\sin -45=-\frac{\sqrt[]{2}}{2}[/tex]
Therefore,
[tex]\boxed{\sin 315^o=-\frac{\sqrt[]{2}}{2}}[/tex]
which is our answer!
