Background and Goals: Covers the graphs, properties and geometric significance of trigonometric functions of a real variable. Other topics include trigonometric equations and identities, application, trigonometric form of complex numbers, DeMoivre's theorem, and polar and parametric equations. The course also has a significant number of applications, especially related to other disciplines.
Alternatives: Math 112 and Math 113 are both covered by Math 114.
After Math 112 and Math 113 a student can enroll in Math 171, Math 211 or Math 221.
- Degrees and radians.
- Arc length and sector area.
- Similar triangles.
- Trig ratios and right triangles.
- Special angles.
- Right triangles and applications.
- Standard position; quadrants.
- Trig functions; fundamental identities.
- Inverse trig functions.
- Laws of sines and cosines.
- Double- and half-angle identities.
- Basic graphs and graphing.
- Graphs of A sin x, A cos x, M sin Bt + N cos Bt
- Trig equations
- Vectors: sums, differences, and complements. Dot products.
- Polar coordinates; complex numbers; nth roots.