# Chapter 13: Trigonometric Ratios

Difficulty Level:

**At Grade**Created by: CK-12

## Introduction

This chapter explores trigonometric ratios in the context of problem solving in right triangles, non-right triangles and the unit circle. Radian measure and connections to area of triangles are also explored.

Chapter Outline

- 13.1.
## Pythagorean Theorem and its Converse

- 13.2.
## Sine, Cosine, Tangent

- 13.3.
## Inverse Trig Functions and Solving Right Triangles

- 13.4.
## Application Problems

- 13.5.
## Introduction to Angles of Rotation, Coterminal Angles, and Reference Angles

- 13.6.
## Introduction to the Unit Circle and Radian Measure

- 13.7.
## Trigonometric Ratios on the Unit Circle

- 13.8.
## Reciprocal Trigonometric Functions

- 13.9.
## Inverse Trigonometric Functions

- 13.10.
## Trigonometric Ratios of Points on the Terminal Side of an Angle

- 13.11.
## Using r and theta to find a Point in the Coordinate Plane

- 13.12.
## Law of Sines with AAS and ASA

- 13.13.
## The Ambiguous Case-SSA

- 13.14.
## Area of a Triangle

- 13.15.
## Using the Law of Cosines with SAS (to find the third side)

- 13.16.
## Using the Law of Cosines with SSS (to find an angle)

- 13.17.
## Heron's Formula for the Area of a Triangle and Problem Solving with Trigonometry

### Chapter Summary

## Summary

In this chapter, you will learn about the sine, cosine, tangent, secant, cosecant, and cotangent of angles in degrees and radians. You will be introduced to Polar coordinates, as well as the Laws of Sines and Cosines. Several real-life applications will be explored.

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Description

This chapter covers the trig ratios, their inverses, radians, and solving right triangles.

Difficulty Level:

At Grade
Tags:

Subjects:

Date Created:

Jan 08, 2016
Last Modified:

Jun 09, 2016
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