SOLUTION: cscx=-5/3 pi<x<3pi/2 find extact value of sinx/2,cosx/2, tanx/2

Algebra ->  Trigonometry-basics -> SOLUTION: cscx=-5/3 pi<x<3pi/2 find extact value of sinx/2,cosx/2, tanx/2      Log On


   

Question 590941: cscx=-5/3 pi
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
cscx=-5/3 pi ---------------
sin(x) = 1/csc = -3/5
x is in Q3 or Q4
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cos%28x%29+=+sqrt%281+-+sin%5E2%28x%29%29
cos = 4/5 in Q4 or - 4/5 in Q3
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tan = sin/cos
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Use the half-angle formulas on Wikipedia. It's all plug-in formulas.