The function $f\,$ is defined by $\arctan x$ for $\in \mathbb{R}$ .

Sketch the graph of $y = f (x)$ , stating the equations of its asymptotes.

Using set notation, state the range of $f$ .

The function $g\,$ is defined by $\arccos x$ , where $g\,$ has its greatest possible domain.

Using set notation, state the domain and the range of $g$ .

Show that $arccos⁡x+arcsin⁡x=π2\displaystyle \arccos x + \arcsin x = \frac{\pi}{2}$ for $\leq x \leq 1$ .

The function $f\,$ is defined by $\arctan x$ for $\in \mathbb{R}$ .

Sketch the graph of $y = f (x)$ , stating the equations of its asymptotes.

Using set notation, state the range of $f$ .

The function $g\,$ is defined by $\arccos x$ , where $g\,$ has its greatest possible domain.

Using set notation, state the domain and the range of $g$ .

Show that $arccos⁡x+arcsin⁡x=π2\displaystyle \arccos x + \arcsin x = \frac{\pi}{2}$ for $\leq x \leq 1$ .

3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only) Questions