Solve SIN(4X) - SIN(2x)
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Solve SIN(4X) - SIN(2x)

[From: ] [author: ] [Date: 13-01-29] [Hit: ]
2x = πk,All real solutions: x = πk/2,x = 0, π/6, π/2, 5π/6,......
Please help me solve this
thanks!

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There is nothing to solve here, since there is no equation.

Perhaps you want us to simplify instead?

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sin(4x) − sin(2x) = 0
2 sin(2x) cos(2x) − sin(2x) = 0
sin(2x) (2 cos(2x) − 1) = 0

sin(2x) = 0
2x = πk, for all integers k
x = (π/2)k

2 cos(2x) − 1 = 0
cos(2x) = 1/2
2x = 2πk ± π/3
x = πk ± π/6

All real solutions: x = πk/2, πk ± π/6

Solutions on interval 0 ≤ x ≤ 2π
x = 0, π/6, π/2, 5π/6, π, 7π/6, 3π/2, 11π/6, 2π
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keywords: SIN,Solve,Solve SIN(4X) - SIN(2x)
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