SOLUTION: find sin(x+y) if tan(x)=4/3 and cos(y)=5/6, if 0<x<pi/2 and 0<y<pi/2

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Question 1176101: find sin(x+y) if tan(x)=4/3 and cos(y)=5/6, if 0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find sin(x+y) if tan(x)=4/3 and cos(y)=5/6, if 0 ----
find sin(x+y) if tan(A)=4/3 and cos(B)=5/6, if x & y in Q1
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Find sin and cos of A & B if A & B in Q1
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tan(A) = y/x = 4/3
r = sqrt(x^2+y^2) = 5
sin(A) = y/r =4/5
cos(A) = x/r = 3/5
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cos(B) = 5/6
sin(B) = sqrt(1 - cos^2(B)) = sqrt(11)/6
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sin(A+B) = sin(A)*cos(B) + sin(B)*cos(A)
You can do that last step.