Basic Electronics |
Lessons In Electric Circuits -- Volume VChapter 5TRIGONOMETRY REFERENCERight triangle trigonometry
A right triangle is defined as having one angle precisely equal to 90^{o} (a right angle). Trigonometric identities
H is the Hypotenuse, always being opposite the right angle. Relative to angle x, O is the Opposite and A is the Adjacent. "Arc" functions such as "arcsin", "arccos", and "arctan" are the complements of normal trigonometric functions. These functions return an angle for a ratio input. For example, if the tangent of 45^{o} is equal to 1, then the "arctangent" (arctan) of 1 is 45^{o}. "Arc" functions are useful for finding angles in a right triangle if the side lengths are known. The Pythagorean theorem
Non-right triangle trigonometry
The Law of Sines (for any triangle)
The Law of Cosines (for any triangle)
Trigonometric equivalencies
Hyperbolic functions
Note: all angles (x) must be expressed in units of radians for these hyperbolic functions. There are 2π radians in a circle (360^{o}). ContributorsContributors to this chapter are listed in chronological order of their contributions, from most recent to first. See Appendix 2 (Contributor List) for dates and contact information. Harvey Lew (??? 2003): Corrected typographical error: "tangent" should have been "cotangent". Lessons In Electric Circuits copyright (C) 2000-2004 Tony R. Kuphaldt, under the terms and conditions of the Design Science License. |