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Trigonometry question

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in Trigonometry by (15 points)
  1. For a,b belong to (0,pi/2),let 3 sin(a+b)= 2  sin(a-b) and a real number k be such that tana=k tanb .then the value of k
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1 Answer

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By observations a=60° and b=30°. so k=3

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