Arcsine — Precalculus, what it means and where it is taught

The inverse of sine, restricted to outputs from -90° to 90°.

Taught in Precalculus.

Where it is taught

What it rests on

Work through these first if this one does not settle.

Practise this idea

2 questions in the course bank use Arcsine, in Inverse Trigonometric Functions.

Problem 1

Find arcsin(-12) in degrees.

Worked answer

-30

Reference angle 30°

Arcsine returns -90° to 90°, so -30°

Problem 2

Evaluate arcsin(sin 150°) in degrees.

Worked answer

30

sin 150° = 12

The angle in [-90°, 90°] with that sine is 30°

Elsewhere

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