Question

Evaluate csc(-315°).

Answer 1

`(2)/(√(2) ) = √(2)`

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)=(1)/(sin(x))`

Then, you need to evaluate
`(1)/(sin(45)) = 1/(√(2) )/(2) = (2)/(√(2) ) =√(2)`