Calculate sin^-1(2)

Step by step

The question

Question: find sin⁻¹(2).

1 What it asks

sin⁻¹ of 2 means: the angle whose sine is 2.

We call that angle θ.

So sin θ = 2.

Sin θ is the up value of a point on the unit circle.

The circle has radius 1.

So it is never more than 1 or less than −1.

2 is more than 1.

So no angle works: sin⁻¹(2) has no answer.