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

1 Answer
Feb 12, 2016

#51.57# degrees as also #128.43# degrees.

Explanation:

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

As #9.4/12=0.78333#, the angle whose sine is #0.78333# is #sin^-1(9.4/12)#.

Using a scientific calculator this comes out to #51.57# degrees. It can also be #180-51.57# i.e. #128.43# too as #sin(pi-theta)=sintheta#.

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