SOLUTION: Let x be the solution of the equation cosec(x)=3 range:pi/2<x<pi.Then x=pi- arctan (y) what is y?

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Question 792863: Let x be the solution of the equation cosec(x)=3 range:pi/2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the solution of the equation cosec(x)=3
range:pi/2 If csc(x) = 3, sin(x) = 1/3 in QII
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x = sin^-1(1/3) in QII = pi-0.34 = 2.80 radians
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Then x=pi- arctan (y) what is y?
2.80 = pi - tan^-1(y)
tan^-1(y) = pi - 2.80
tan^-1(y) = 0.34
y = 0.3277
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Cheers,
Stan H.