How to relate the sides of an angle bisected and the lengths of the opposite side.
How to use the unit circle to derive the tangent identity and the Pythagorean identity.
How to use the power reduction formulas to derive the half-angle formulas.
How to determine the identity matrix of order n.
How to define an angle of elevation or an angle of depression.
How to identify supplementary and complementary angles.
How to calculate the measure of an inscribed angle.
How to define exterior angles and their remote interior angles and how to prove their properties.
Vocabulary of angles and how to measure an angle with a protractor
How to define corresponding angles and their special properties.
How to label an angle bisector; how to use an angle bisector to find a missing variable.
How to duplicate an angle using a compass and straightedge.
How to simplify a trigonometric expression by converting to sines and cosines and using algebra.
How to derive two more cosine double-angle formulas.