Inverse Trig (with Compositions)

The inverse cosine function, denoted as $$\text{cos}^{-1}(x)$$ or $$\text{arccos}(x)$$ , returns the angle whose cosine is x, with a range of $$[0, \frac{\text{pi}}{2}]$$ .

The range of the inverse sine function, denoted as $$\text{sin}^{-1}(x)$$ or $$\text{arcsin}(x)$$ , is $$[-\frac{\text{pi}}{2}, \frac{\text{pi}}{2}]$$ .

The value is $$\frac{\text{pi}}{4}$$ .

The value is $$\frac{\text{pi}}{6}$$ or $$30^{\text{o}}$$ .

The value is 0.

The value is 1.

The value is $$-\frac{\text{pi}}{4}$$ .

The inverse tangent function, denoted as $$\text{tan}^{-1}(x)$$ or $$\text{arctan}(x)$$ , returns the angle whose tangent is x, with a range of $$(-\frac{\text{pi}}{2}, \frac{\text{pi}}{2})$$ .

Inverse trigonometric functions undo the effect of their corresponding trigonometric functions, meaning if $$y = \text{sin}^{-1}(x)$$ , then $$\text{sin}(y) = x$$ .

The value is $$\frac{\text{pi}}{2}$$ .