Solving for X: Simplified Sin(60-x)=2sinx Equation

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The equation sin(60-x) = 2sinx requires solving for x. The initial approach involves expanding the sine function using the multiple angle formula. The key identity used is sin(x-y) = sinx*cosy - siny*cosx. After applying this identity, the problem was resolved successfully. The discussion highlights the importance of recalling trigonometric identities in solving equations.
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[SOLVED] Solving for X help

Homework Statement


sin(60-x)=2sinx need to find x


i have no idea on how to solve it.
 
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Well the first thing I would do would be to expand the sine function on the left hand side using the multiple angle formula.
 
thanks i figured it out. i forgot that sin(x-y)=sinxcosy-sinycosx
 
You're welcome.
 

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