DP Mathematics HL Questionbank
Definition of \(\cos \theta \) , \(\sin \theta \) and \(\tan \theta \) in terms of the unit circle.
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- 12M.1.hl.TZ1.5a: For what values of x does \(f(x)\) not exist?
- 12M.1.hl.TZ1.10a: Show that cos \(\hat A - \sin \hat A = \frac{1}{{\sqrt 2 }}\).
- 12M.1.hl.TZ2.10a: State the two zeros of f .
- 12M.2.hl.TZ2.3a: By drawing a diagram, show why there are two triangles consistent with this information.
- 12M.2.hl.TZ2.3b: Find the possible values of AC .
- 12N.1.hl.TZ0.1: Given that \(\frac{\pi }{2} < \alpha < \pi \) and \(\cos \alpha = - \frac{3}{4}\), find...
- 12N.2.hl.TZ0.12a: If \(\alpha \) is the angle between [CD] and the wall, show that...
- 11M.1.hl.TZ2.13a: (i) Sketch the graphs of \(y = \sin x\) and \(y = \sin 2x\) , on the same set of axes, for...
- SPNone.1.hl.TZ0.1a: Write down the value of \(\sin \theta \) .
- 13M.1.hl.TZ1.10a: Find all values of x for \(0.1 \leqslant x \leqslant 1\) such that \(\sin (\pi {x^{ - 1}}) = 0\).
- 13M.2.hl.TZ2.13b: (i) Calculate the value of \(\theta \) when x = 0. (ii) Calculate the value of...
- 11N.1.hl.TZ0.8a: Show that \(t = \frac{2}{3}(2\cos \theta + \theta )\).
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- 12M.1.hl.TZ1.10b: By squaring both sides of the equation in part (a), solve the equation to find the angles in the...
- 12M.1.hl.TZ1.10c: Apply Pythagoras’ theorem in the triangle ABC to find BC, and hence show that...
- 12M.1.hl.TZ1.10d: Hence, or otherwise, calculate the length of the perpendicular from B to [AC].
