Determine the angle whose sine is .23345.
If we assume the angle to be say "a" degrees, we have
sin a = 0.23345
We can use either the standard sine tables or a calculator to determine the value of a.
Using a calculator, a = `sin^(-1) 0.23345 = 13.5 degrees`
Thus, the required angle is of 13.5 degrees. It can also be written in radians as `3/40 pi.`
We can carry out the conversion between degrees and radians, by using the fact that `2pi` radians contain 360 degrees.
Since, the sine function is a period function, the same value of sine will be obtained at 166.5 degrees (or, `37/40 pi` ) in the interval [0,`pi` ]. The same values will also be obtained in the next sine curve (spaced by 2`pi` or 360 degrees), that is at `83/40 pi` and `117/40 pi`.
Hope this helps.