If sin θ = x
Then putting sin on the right side
θ = sin -1 x
sin -1 x = θ
So, inverse of sin is an angle.
Similarly, inverse of all the trigonometry function is angle.
Note : Here angle is measured in radians, not degrees.
So, we have
sin -1 x
cos -1 x
tan -1 x
cosec -1 x
sec -1 x
tan -1 x
Let’s take an example
We know that
sin 30° = ½
Writing angle in radians
sin π/6 = ½
π/6 = sin -1 ½
sin -1 ½ = π/6