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 = 

Thus, the required angle is of 13.5 degrees. It can also be written in radians as 

We can carry out the conversion between degrees and radians, by using the fact that...

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 = 

Thus, the required angle is of 13.5 degrees. It can also be written in radians as 

We can carry out the conversion between degrees and radians, by using the fact that  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, ) in the interval [0, ]. The same values will also be obtained in the next sine curve (spaced by 2 or 360 degrees), that is at  and . 

Hope this helps.