Can you imagine young people nowadays making a study of trigonometry for the fun of it?  Well I did.

Clyde Tombaugh

sections:

      6.1, 6.2, 6.3, 6.4, and 6.5

The law of sines and cosines allow us to solve any triangle; that is, given certain information, find all the sides and angles.
Polar coordinates are useful when equations have certain symmetry—and they are simply cool!
By expressing a complex number in polar coordinates, nth roots form a simple geometric picture with a straight-forward method for computing all n of them!

objectives:

• derive other identities
• use the law of sines to solve triangles
• use the law of cosines to solve triangles
• determine if the supplied data has no solution, one solution, or two solutions
• apply the various trigonometric relationships to solve practical problems
• compute the area of any triangle
• plot points in a polar coordinate system
• identify alternative forms of the polar coordinates for the same physical point
• handle negative values of r
• change from cartesian to polar coordinates
• change from polar to cartesion
• graph equations in polar coordinates
• state the symmetry conditions
• graph complex numbers in a complex plane
• find the absolute value of a complex number
• express complex numbers in terms of trig functions
• use trig functions to find products and quotients
• write out De Moivre's Theorem
• use De Moivre's Theorem to find nth roots