Answer:
[tex]\frac{2}{\sqrt{2} } = \sqrt{2}[/tex]
Step-by-step explanation:
Notice from the attached image that -315 degrees is the same as 45 degrees.
Recall as well that the csc function is defined as the reciprocal of the sine function: [tex]csc(x)=\frac{1}{sin(x)}[/tex]
Then, you need to evaluate [tex]\frac{1}{sin(45)} = 1/\frac{\sqrt{2} }{2} = \frac{2}{\sqrt{2} } =\sqrt{2}[/tex]
