How do you calculate sin^-1(9.4 / 12)sin1(9.412)?

1 Answer
Feb 12, 2016

51.5751.57 degrees as also 128.43128.43 degrees.

Explanation:

Sine of an angle can take value between -11 and +1+1.

As 9.4/12=0.783339.412=0.78333, the angle whose sine is 0.783330.78333 is sin^-1(9.4/12)sin1(9.412).

Using a scientific calculator this comes out to 51.5751.57 degrees. It can also be 180-51.5718051.57 i.e. 128.43128.43 too as sin(pi-theta)=sinthetasin(πθ)=sinθ.

One can add multiples of 360 degrees too as it does not affect sine of an angle.