Sine, cosine, and tangent have two quadrants that are more important than the others. It is important to isolate those quadrants for the inverse functions. Sine and cosine functions have a range restriction, which means their inverses have to have a domain restriction. The domain restriction of the inverse results in a range restriction. The values on the Unit Circle are not unique; it is necessary to restrict the inverse functions so the values do not repeat. The sine, cosine, and tangent functions are cyclical and repeat output values. When the graph is reflected over y=x the resulting graph is not a function.

Sine, cosine, and tangent have two quadrants that are more important than the others. It is important to isolate those quadrants for the inverse functions. Sine and cosine functions have a range restriction, which means their inverses have to have a domain restriction. The domain restriction of the inverse results in a range restriction. The values on the Unit Circle are not unique; it is necessary to restrict the inverse functions so the values do not repeat. The sine, cosine, and tangent functions are cyclical and repeat output values. When the graph is reflected over y=x the resulting graph is not a function.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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