SOLUTION: Find the set of values of x (in radians) for which csc(x) = sqrt(2), for x in [0, 2π]

SOLUTION: Find the set of values of x (in radians) for which csc(x) = sqrt(2), for x in [0, 2π]

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Question 813094: Find the set of values of x (in radians) for which csc(x) = sqrt(2), for x in [0, 2π]
Answer by erica65404(394) (Show Source): You can put this solution on YOUR website!

we know that cosecant is the reciprical of sine so

now rationalize

we can tell by this that
but thats not all.
sine is positive in quadrant 1 and 2 so .
These types of problems will always have 2 answers.
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