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How do you solve 2sin2x equals 1?

Updated: 12/10/2022
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14y ago

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The first thing to do is remove the coefficients of the side with the variable. This is done here by dividing by two, to give sin(2x) = 0.5. The next step is to remove the sine function; take the inverse sine of each side to give 2x = 30o (for degrees) or 2x = 0.5236 (for radians; equal to pi/6). Finally, remove the coefficient of x by dividing by 2 again. This gives 15o or 0.2618 (equal to pi/12). These are only the trivial solutions; all others can be found using predetermined formula.

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