How to find the value of csc ((3pi)/4)?

1 Answer
Alan P.
Jun 5, 2015

The angle ((3pi)/4) is in Quadrant 2 with a reference angle of pi/4

sin(pi/4) = 1/sqrt(2)color(white)("XXXX")(it's one of the standard angles)

and in Quadrant 2, sin(x) is positive, so
color(white)("XXXX")sin((3pi)/4) = sin(pi/4) = 1/sqrt(2)

csc(x) = 1/(sin(x))

So
csc((3pi)/4) = sqrt(2)

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