SOLUTION: How can I use an addition or subtraction formula to simplify the following equation. In order to find all the solutions in the interval [0,2pi). sin 4 x *cos 3 x - cos 4 x *sin

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Question 752310: How can I use an addition or subtraction formula to simplify the following equation. In order to find all the solutions in the interval [0,2pi).
sin 4 x *cos 3 x - cos 4 x *sin 3 x = 0

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find all the solutions in the interval [0,2pi).
sin 4 x *cos 3 x - cos 4 x *sin 3 x = 0
Identity: sin(x-y)=sinx*cosy-cosx*siny
For given problem:
sin 4 x *cos 3 x - cos 4 x *sin 3 x=sin(4x-3x)=0
sinx=0
x=0, π