DP Mathematics HL Questionbank

• Syllabus

3.5

Sub sections and their related questions

The inverse functions $x \mapsto \arcsin x$ , $x \mapsto \arccos x$ , $x \mapsto \arctan x$ ; their domains and ranges; their graphs.

• 08M.1.hl.TZ2.9: The diagram below shows the boundary of the cross-section of a water channel.     The...
• 09M.1.hl.TZ1.5: (a)     Show that...
• 14M.1.hl.TZ2.9: The first three terms of a geometric sequence are $\sin x,{\text{ }}\sin 2x$ and...
• 14M.1.hl.TZ2.14a: Sketch the graph of $y = h(x)$.
• 15M.2.hl.TZ2.8b: Bill replaces Gruff’s rope with another, this time of length $a,{\text{ }}4 < a < 10$, so...
• 16N.2.hl.TZ0.5a: Sketch the graph of $f$ indicating clearly any intercepts with the axes and the coordinates of...
• 16N.2.hl.TZ0.5b: State the range of $f$.
• 16N.2.hl.TZ0.5c: Solve the inequality $\left| {3x\arccos (x)} \right| > 1$.