"Plane trigonometry" is a branch of mathematics that focuses on the relationship between the sides and angles of a triangle. Plane trigonometry
builds upon the basic concepts of Euclidean geometry, and it has
applications in a variety of mathematical fields, from physics to
advanced calculus.
The earliest uses of trigonometric functions
were related to the chords of a circle, and the recognition that the
length of the chord subtended by a given angle x was (in modern terms)
2sin(x/2). The Greek astronomer and mathematician Hipparchus produced the first known table of chords in 140 BC.
SOHCAHTOA. A way of remembering how to compute the sine, cosine, and tangent of an angle. SOH stands for Sine equals Opposite over Hypotenuse. CAH stands for Cosine equals Adjacent over Hypotenuse. TOA stands for Tangent equals Opposite over Adjacent.
Topics to be covered:
- Geometric foundations of trigonometry.
- Trigonometric functions.
- Trigonometric identities.
- Solution of triangles.