find the value of x 0.25 = x + arcsin( sin(x /2) )

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to remember that `arcsin(sin x) = x` , hence you may write the equation in terms of x such that:

`0.25 = x + x/2 =gt 1/4 = x + x/2`

You need to bring the terms to a common denominator such that:

`1 = 4x + 2x =gt 6x = 1 =gt x = 1/6`

Hence, evaluating the solution to equation yields `x = 1/6` .

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