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Lessons In Electric Circuits -- Volume V (Reference) - Chapter 5

PreviousContentsNext# Lessons In Electric Circuits -- Volume V

# Chapter 5

# TRIGONOMETRY REFERENCE

__Right triangle trigonometry____Non-right triangle trigonometry____Trigonometric equivalencies____Hyperbolic functions____Contributors__

__Right 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)

*any*triangle)

__The Law of Cosines (for __*any* triangle)

*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}).

__Contributors__

Contributors 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) 2000-2006 Tony R. Kuphaldt, under the terms and conditions of the Design Science License.

GW1NGL NA7KR Kevin Roberts Ham Radio

Page last updated on 09/10/2012 by Kevin Roberts NA7KR a colection of Ham Radio and Electronic Information