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Bumek [7]
3 years ago
10

Find all solutions to the equation sin(3x)cosx-sinx cos(3x)=0 on the interval [0,2pi]

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
Please have in mind that <span>sin(A - B) = sin(A)cos(B) - cos(A)sin(B) </span>
So what we do is:
<span>sin(3x)cos(x) - sin(x)cos(3x) = 0 => sin(3x - x) = 0 </span>

<span>sin(2x) = 0 </span>

<span>2x = 0, π, 2π, 3π, 4π </span>

<span>x = 0, π/2, π, 3π/2, 2π
With this, even though not giving you all the answers, will help you greatly to get them. I know you will get the answers with no problems.</span>
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