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svlad2 [7]
3 years ago
8

Evaluate csc(-315°).

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

\frac{2}{\sqrt{2} } = \sqrt{2}

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: csc(x)=\frac{1}{sin(x)}

Then, you need to evaluate \frac{1}{sin(45)} = 1/\frac{\sqrt{2} }{2} = \frac{2}{\sqrt{2} } =\sqrt{2}

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