Inverse Trig Functions (Edexcel A-Level Mathematics): Flashcards

The angle whose sine is $x$, within its range.

$-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}$ (or $-90°$ to $90°$).

The angle whose cosine is $x$, within its range.

$0 \leq \theta \leq \pi$ (or $0°$ to $180°$).

The angle whose tangent is $x$, within its range.

$-\frac{\pi}{2} < \theta < \frac{\pi}{2}$ (or $-90° < \theta < 90°$).

$\arcsin x + \arccos x = \pi/2$.

A smooth curve from $(-1, -\pi/2)$ to $(1, \pi/2)$.

A decreasing curve from $(-1, \pi)$ to $(1, 0)$.

$-1 \leq x \leq 1$.