Trigonometric Ratios of Complementary Angles

Complementary Angles: Angles that add up to \({90^\circ }\).


Below shows right-angled △ABC.

You can shift the points B and C to change the size of △ABC.


Instructions:

1. Adjust the size of △ABC.
2. Check the boxes.
3. Observe the values of the trigonometric functions: \(\sin \theta \), \(\cos \theta \) and \(\tan \theta \).
4. Observe the values of the trigonometric functions: \(\sin \left( {90^\circ - \theta } \right)\), \(\cos \left( {90^\circ - \theta } \right)\) and \(\tan \left( {90^\circ - \theta } \right)\).
5. Repeat steps 1 ~ 4 for other sizes of △ABC.

Download the GeoGebra file: http://www.geogebratube.org/material/download/format/file/id/44997

Download the Worksheet: http://db.tt/y5PJ7T6P