Pre-Calc grade 12 advanced function Trig

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1. Determine approximate solutions for each
equation in the interval x ∈ [0, 2π], to the
nearest hundredth of a radian.
a) sinx - 1/4 = 0



3. I don't know what to do... I am supposed to asnwer in radian like this --> (π/4 , 4π/6 etc..)
 
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sinx=1/4

do you see how to solve it now?
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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