How do you find two solutions (in degree and radians) for cscx = -sqrt2?

1 Answer
Nghi N.
Nov 11, 2015

Solve csc x = -sqrt2

Ans: (5pi)/4 and (7pi)/4

Explanation:

csc x = 1/(sin x) = -sqrt2. First, find sin x.
Use Trig Table and unit circle -->
sin x = -1/(sqrt2) = -sqrt2/2 --> x = - pi/4 and x = -(3pi)/4
Answers, using co-terminal arcs:
x = - (3pi)/4 or x = (5pi)/4, or 225^@
x = -pi/4, or x = (7pi)/4, or 315^@

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