SOLUTION: If tan(x) + tan(y) = 4 and cot(x) + cot(y) = 5, find the value of tan(x+y)

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Question 1188278: If tan(x) + tan(y) = 4 and cot(x) + cot(y) = 5, find the value of tan(x+y)
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If tan(x) + tan(y) = 4 and cot(x) + cot(y) = 5, find the value of tan(x+y)
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Sub r for tan(x) and s for tan(y)
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r + s = 4


4 = 5rs
4 = tan(x)*tan(y)
tan(x) + tan(y) = tan(x)*tan(y)
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bbl


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