Friday, October 28, 2016

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  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.

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