Prentice Hall Algebra 2

14-3 Right Triangles and Trigonometric Ratios

Objective

To find lengths of sides in a right triangle

To find measures of angles in a right triangle

A solve it problem. Darius says, “Each hypotenuse has a leg to stand on.”
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There is a connection between the trigonometric functions and the right-triangle trigonometric ratios that you may have studied in geometry.

Essential Understanding If you restrict the domain of the trigonometric functions to angle measures between 0 degrees and 90 degrees comma the function values are the trigonometric ratios associated with the acute angles of a right triangle.

Dilate the unit circle by the factor r and the terminal side of an angle theta will intersect the circle of radius r in the point open x comma y close equals open r . cosine theta comma r . sine theta close .


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Table of Contents

Prentice Hall Algebra 2 Chapter 1 Expressions, Equations, and Inequalities Chapter 2 Functions, Equations, and Graphs Chapter 3 Linear Systems Chapter 4 Quadratic Functions and Equations Chapter 5 Polynomials and Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Chapter 7 Exponential and Logarithmic Functions Chapter 8 Rational Functions Chapter 9 Sequences and Series Chapter 10 Quadratic Relations and Conic Sections Chapter 11 Probability and Statistics Chapter 12 Matrices Chapter 13 Periodic Functions and Trigonometry Chapter 14 Trigonometric Identities and Equations Skills Handbook English/Spanish Illustrated Glossary Selected Answers Index Acknowledgments