SOLUTION: if sinA+cosB=2 . find the sin(2A+B/3) ? solution is cos(A/3).

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Question 886866: if sinA+cosB=2 . find the sin(2A+B/3) ?

solution is cos(A/3).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if sinA+cosB=2 . find the sin(2A+B/3) ?
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The only way sin(A)+cos(B) can be 2 is
for Sin(A) to be 1 and cos(B) to be 1.
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Then A = pi/2 and B = 0
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So sin((2A+B)/3) = sin((pi + 0)/3) = sin(pi/3) = cos((pi/2-pi/3) = cos(pi/6)
= cos((pi/2)/3)) = cos(A/3)
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Cheers,
Stan H.
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solution is cos(A/3).