MYP 5Year 11Term 3
11.8 Unit Circle
Radian measure · Full unit circle · Arc length, sector and segment area · Special triangles, exact values · Negative-angle, complementary-angle and Pythagorean identities · sin/cos/tan equations
GeometryExtended pathway
8 objectives
Learning objectives
What students should be able to do by the end of this unit.
Radian Measure and the Unit Circle (Extended)
0 / 8 ticked
Tick to track on this device. Saved here only — your teacher does not see it.
- Convert between degrees and radians; understand radian measure as arc length on the unit circle.EXT
- Use the full unit circle to define $\sin\theta$, $\cos\theta$ and $\tan\theta$ for any angle.EXT
- Use special triangles to find exact trigonometric values at multiples of $\frac{\pi}{6}$, $\frac{\pi}{4}$, $\frac{\pi}{3}$.EXT
- Apply negative-angle and complementary-angle identities.EXT
- Apply the Pythagorean identity $\sin^2\theta + \cos^2\theta = 1$ and $\tan\theta = \dfrac{\sin\theta}{\cos\theta}$.EXT
- Solve trigonometric equations of the form $\sin x = k$, $\cos x = k$, $\tan x = k$ in radians.EXT
- Calculate arc length, sector area and segment area in radians.EXT
- Calculate arc length, sector area and segment area in degrees.
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.