Inverse trigonometric functions (HSC SSCE Mathematics Extension 1): Flashcards

They calculate angles from known trigonometric values.

The domain of arcsin(x) is [-1, 1].

The range of arccos(x) is [0, π].

If y = sin⁻¹(x), then x = sin(y).

sin⁻¹(-x) = -sin⁻¹(x).

d/dx (sin⁻¹(x)) = 1/√(1-x²).

The range of arctan(x) is (-π/2, π/2).

If y = cos⁻¹(x), then x = cos(y).

tan⁻¹(-x) = -tan⁻¹(x).

sin⁻¹(-0.5) = -π/6 by symmetry property.