This Trigonometry video tutor series consists of 4 tapes containing 16 video segments. Each segment is approximately 25-30 minutes in length. Topics include angles, degrees and radians, trigonometric functions of general angles, graphing trigonometric functions, proving trigonometric identities, inverse trigonometric functions, right triangle applications, law of sines, law of cosines, polar coordinates, DeMoivre's Theorem, and nth roots of complex numbers.
Video 1 - Angles, Degrees, Radians, Trigonometric Functions
- Angles, Degrees and Radians.
This segment covers definitions for angles and their measures as well as the circular arc length formula and problems for conversion of angle measure for radians to degrees, degrees to minutes and vice-versa.
- Introduction to Trigonometric functions.
This segment covers the definitions of the trigonometric functions of acute angles using right triangles, as well as special angles of 30, 60 and 45 degrees.
- Trigonometric Functions of General Angles.
This segment covers the definitions of trig functions for general angles using rectangular coordinates, standard position and terminal side. The reciprocal, quotient and Pythagorean identities are covered.
- Evaluating Trigonometric Functions.
This segment covers reference angles and their use in computation of trig functions of general angles.
Video 2 - Graphing Trigonometric Functions, Identities.
- Graphing Trigonometric Functions I.
This segment covers the reciprocal relations, the Pythagorean identities, evenness and oddness for trig functions and demonstrations of some simple trig identity problems.
- Graphing Trigonometric Functions II.
This segment covers the formulas for trig functions of sum and difference of angles and their use for computing trig functions of certain angles which can be reduced to 30, 60, 45 degree angles using these formulas.
- Trigonometric Identities I.
This segment covers the reciprocal relations, the Pythagorean identities, evenness and oddness for trig functions and demonstration of some simple trig identity problems.
- Trigonometric Identities II.
This segment covers the formulas for trig functions of sum and difference of angles and their use for computing trig functions of certain angles which can be reduced to 30, 60, 45 degree angles using these formulas.
Video 3 - Trigonometric Equations, Right Triangle
- Trigonometric Identities III.
This segment covers the double-angle and half-angle formulas and their use in calculations as well as in solution of trig identities.
- Inverse Trigonometric Functions.
This segment covers inverse functions for sine, cosine, and tangent functions as well as computations involving trig functions of an expression containing an inverse trig function.
This segment covers the use of trig identities for solving trigonometric equations.
- Right Triangle Applications.
This segment covers the use of trig functions to solve right triangles from partial information, and applications.
Video 4 - Law of Sines & Cosines, Polar Coordinates.
This segment covers the use of the law of sines to solve triangles from partial information.
This segment covers the use of the law of cosines to solve general triangles from partial information, as well as applications.
This segment covers polar coordinates as well as the use of sine and cosine to transform from polar to rectangular coordinates and the tangent function for converting from rectangular to polar coordinates.
- Trigonometric Form, DeMoivre's Theorem and Nth Roots of Complex Numbers.
This segment covers the trigonometric or polar form for complex numbers and DeMoivre's theorem for computation of roots of complex numbers.
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