Pythagoras and trigonometry
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Finding the hypotenuse
1Find a side of a right-angled triangleOpen, set of 8START2Determine whether three sides form a right-angled triangleOpen, set of 8START
Finding a shorter side
Pythagoras' theorem in 2D and 3D
4Find a side of a right-angled triangleOpen, set of 8START5Pythagoras in three dimensionsOpen, set of 8START
Trigonometric ratios
6Name sides and state trigonometric ratiosOpen, set of 8START7Evaluate a trigonometric ratioOpen, set of 8START8Choose a trigonometric ratioOpen, set of 8START
Unknown side in the numerator
9Find an unknown side of a right-angled triangleOpen, set of 8START10Solve a practical right-angled-triangle problemOpen, set of 8START11Evaluate a trigonometric ratioOpen, set of 8START12Choose a trigonometric ratioOpen, set of 8START
Unknown side in the denominator
13Find an unknown side of a right-angled triangleOpen, set of 8START14Solve a practical right-angled-triangle problemOpen, set of 8START15Choose a trigonometric ratioOpen, set of 8START
Finding angles with trigonometry
16Find an angle of a right-angled triangle from two sidesOpen, set of 8START17Solve a practical right-angled-triangle problemOpen, set of 8START18Evaluate a trigonometric ratio, and find an angle from its valueOpen, set of 8START
Elevation and depression
Bearings and navigation
20Read and state three-figure bearingsOpen, set of 8START21Solve a navigation problem with bearingsOpen, set of 8START
Trigonometry in three dimensions