SOLUTION: tan(Arc cot-3/5-Arc sin1/3)

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Question 1032994: tan(Arc cot-3/5-Arc sin1/3)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
tan(Arc cot(-3/5)-Arc sin(1/3))
tan(a - b) = [tan(a)-tan(b)]/[1-tan(a)(tan(b)]
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tan(arccot(-3/5) = -5/3
tan(arcsin(1/3)) = 1/sqrt[3^2-1] = 1/sqrt(8)
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= [(-5/3)-(1/sqrt(8)] / [1 - (-5/3)(1/sqrt(8)]
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etc.
Cheers,
Stan H.
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