Find all values of x in the interval [0, 2π] that satisfy the equation. 2 sin(2x) = 2 cos(x)

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16-02-2018
Mathematics

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Find all values of x in the interval [0, 2π] that satisfy the equation. 2 sin(2x) = 2 cos(x)

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Jahango Jahango · Answer 1 · 2018-02-22T18:12:08+01:00

Jahango Jahango

22-02-2018

in 2X = CosX. 2 SinxCosX - CosX =0. CosX ( 2 Sin X - 1 ) =0. Cos X = 0 X = 90° = π/2 or X = 270° = 3π/4. 2SinX = 1 X = 30° = π/6 or X = 150° = 5π/6. 1/6/2014 ...

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