DP Mathematics SL Questionbank
Trigonometry
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[N/A]Directly related questions
- 10N.2.sl.TZ0.10a: Find the height of a seat above the ground after 15 minutes.
- 10N.1.sl.TZ0.8a(i), (ii) and (iii): (i) Show that...
- 12M.2.sl.TZ1.10a(i) and (ii): Find the distance between the ships (i) at 13:00; (ii) at 14:00.
- 12M.2.sl.TZ1.10b: Let \(s(t)\) be the distance between the ships t hours after noon, for \(0 \le t \le 4\) . Show...
- 12M.2.sl.TZ1.10c: Sketch the graph of \(s(t)\) .
- 12M.2.sl.TZ1.10d: Due to poor weather, the captain of ship A can only see another ship if they are less than 8 km...
- 10N.1.sl.TZ0.8b(i) and (ii): The line (AC) has equation \({\boldsymbol{r}} = {\boldsymbol{u}} + s{\boldsymbol{v}}\) . (i) ...
- 10N.1.sl.TZ0.8d: The lines (AC) and (BD) intersect at the point \({\text{P}}(3{\text{, }}k)\) . Hence find the...
- 10N.1.sl.TZ0.8c: The lines (AC) and (BD) intersect at the point \({\text{P}}(3{\text{, }}k)\) . Show that...
- 10M.1.sl.TZ1.4a: Write down the value of \(\tan \theta \) .
- 10M.1.sl.TZ1.4b(i) and (ii): Find the value of (i) \(\sin 2\theta \) ; (ii) \(\cos 2\theta \) .
- 10N.2.sl.TZ0.10c: The height of the seat above ground after t minutes can be modelled by the function...
- 10N.2.sl.TZ0.10b: After six minutes, the seat is at point Q. Find its height above the ground at Q.
- 10N.2.sl.TZ0.10d: The height of the seat above ground after t minutes can be modelled by the function...
- 11N.2.sl.TZ0.4b: Hence, find \({\rm{A}}\widehat {\rm{B}}{\rm{C}}\) , given that it is acute.
- 11N.2.sl.TZ0.4a: Find the two possible values of \({\rm{A}}\widehat {\rm{C}}{\rm{B}}\) .
- 11M.2.sl.TZ2.10a: Show that the area of the window is given by \(y = 4\sin \theta + 2\sin 2\theta \) .
- 11M.2.sl.TZ2.10b: Zoe wants a window to have an area of \(5{\text{ }}{{\text{m}}^2}\). Find the two possible values...
- 11M.2.sl.TZ2.10c: John wants two windows which have the same area A but different values of \(\theta \) . Find all...
- 13M.2.sl.TZ2.7a: Show that \({\rm{OC}} = r\cos 1.4\) .
Sub sections and their related questions
Angle measurement in degrees. Compass directions and three figure bearings.
NoneRight-angle trigonometry. Simple applications for solving triangles.
- 10N.1.sl.TZ0.8a(i), (ii) and (iii): (i) Show that...
- 10N.1.sl.TZ0.8b(i) and (ii): The line (AC) has equation \({\boldsymbol{r}} = {\boldsymbol{u}} + s{\boldsymbol{v}}\) . (i) ...
- 10N.1.sl.TZ0.8c: The lines (AC) and (BD) intersect at the point \({\text{P}}(3{\text{, }}k)\) . Show that...
- 10N.1.sl.TZ0.8d: The lines (AC) and (BD) intersect at the point \({\text{P}}(3{\text{, }}k)\) . Hence find the...
- 10M.1.sl.TZ1.4a: Write down the value of \(\tan \theta \) .
- 10M.1.sl.TZ1.4b(i) and (ii): Find the value of (i) \(\sin 2\theta \) ; (ii) \(\cos 2\theta \) .
- 10N.2.sl.TZ0.10a: Find the height of a seat above the ground after 15 minutes.
- 10N.2.sl.TZ0.10b: After six minutes, the seat is at point Q. Find its height above the ground at Q.
- 10N.2.sl.TZ0.10c: The height of the seat above ground after t minutes can be modelled by the function...
- 10N.2.sl.TZ0.10d: The height of the seat above ground after t minutes can be modelled by the function...
- 11M.2.sl.TZ2.10a: Show that the area of the window is given by \(y = 4\sin \theta + 2\sin 2\theta \) .
- 11M.2.sl.TZ2.10b: Zoe wants a window to have an area of \(5{\text{ }}{{\text{m}}^2}\). Find the two possible values...
- 11M.2.sl.TZ2.10c: John wants two windows which have the same area A but different values of \(\theta \) . Find all...
Pythagoras’ theorem and its converse
- 12M.2.sl.TZ1.10a(i) and (ii): Find the distance between the ships (i) at 13:00; (ii) at 14:00.
- 12M.2.sl.TZ1.10b: Let \(s(t)\) be the distance between the ships t hours after noon, for \(0 \le t \le 4\) . Show...
- 12M.2.sl.TZ1.10c: Sketch the graph of \(s(t)\) .
- 12M.2.sl.TZ1.10d: Due to poor weather, the captain of ship A can only see another ship if they are less than 8 km...