Grade levels: Senior High (10-12)

Using computer technology, students investigate the transformations of the trigonometric functions y = asin[b( c)]+d and y = acos[b( c)]+d.

Demonstrates different methods of graphing transformations of trigonometric functions.

Models help students understand mathematical concepts as they occur in the natural world. In this program, trigonometry is used to model applications involving music, electricity and the Ferris wheel.

Viewers learn how to present basic proofs and verify identities. Highlights Pythagorean, reciprocal and quotient identities. Fermat’s Last Theorem is briefly discussed as one example of a long standing mathematical puzzle.

A number of methods are used to verify the sum and difference identities. The negative and complementary arc identities are proven, exact values calculated, double angle identities are derived, and equations solved using identities.