Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Precalculus

Key Terms

PrecalculusKey Terms

Key Terms

damped harmonic motion
oscillating motion that resembles periodic motion and simple harmonic motion, except that the graph is affected by a damping factor, an energy dissipating influence on the motion, such as friction
double-angle formulas
identities derived from the sum formulas for sine, cosine, and tangent in which the angles are equal
even-odd identities
set of equations involving trigonometric functions such that if f( x )=f( x ), f( x )=f( x ), the identity is odd, and if f( x )=f( x ), f( x )=f( x ), the identity is even
half-angle formulas
identities derived from the reduction formulas and used to determine half-angle values of trigonometric functions
product-to-sum formula
a trigonometric identity that allows the writing of a product of trigonometric functions as a sum or difference of trigonometric functions
Pythagorean identities
set of equations involving trigonometric functions based on the right triangle properties
quotient identities
pair of identities based on the fact that tangent is the ratio of sine and cosine, and cotangent is the ratio of cosine and sine
reciprocal identities
set of equations involving the reciprocals of basic trigonometric definitions
reduction formulas
identities derived from the double-angle formulas and used to reduce the power of a trigonometric function
simple harmonic motion
a repetitive motion that can be modeled by periodic sinusoidal oscillation
sum-to-product formula
a trigonometric identity that allows, by using substitution, the writing of a sum of trigonometric functions as a product of trigonometric functions
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/precalculus/pages/1-introduction-to-functions
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/precalculus/pages/1-introduction-to-functions
Citation information

© Dec 8, 2021 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.