Topics in Trigonometry
11 Radian and Degree Measure

Describe angles

Use radian measure

Use degree measure

Use angles to model and solve reallife problems
12 Trigonometric Functions: TheUnit Circle

Identify a unit circle and its relationship to real numbers

Evaluate trigonometric functions using the unit circle

Use the domain and period to evaluate sine and cosine functions

Use a calculator to evaluate sine and cosine functions
13 Right Angle Trigonometry

Evaluate Trigonometric Functions of acute angles

Use the fundamental trigonometric identities

Use a calculator to evaluate trigonometric functions

Use trigonometric functions to model and solve reallife problems
14 Trigonometric Functions of any angle

Evaluate trigonometric functions of any angle

Use reference angles to evaluate trigonometric functions of angles

Evaluate trigonometric functions of real numbers
15 Graphs of Sine and Cosine Functions

Sketch the graphs of basic sine and cosine functions

Use amplitude and period to help sketch the graph of sine and cosine functions

Sketch translations of the graphs of sine and cosine functions

Use sine and cosine functions to model reallife data
16 Graphs of other Trigonometric Functions

Sketch the graphs of tangent functions

Sketch the graphs of cotangent functions

Sketch the graphs of secant and cosecant functions

Sketch the graphs of damped trigonometric functions
17 Inverse Trigonometric Functions

Evaluate the inverse sine function

Evaluate the other inverse trigonometric functions

Evaluate the compositions of trigonometric functions
18 Applications and Models

Solve reallife problems involving right triangles

Solve reallife problems involving directional bearings

Solve reallife problems involving harmonic motion
Chapter 2 Analytic Trigonometry
21 Using Fundamental Identities

Recognize and write the fundamental trigonometric identities

Use the fundamental trigonometric identities to evaluate trigonometric functions
22 Verifying Trigonometric Identities

Plan a strategy for verifying trigonometric identities

Verify trigonometric identities
23 Solving Trigonometric Equations

Using standard algebraic techniques to solve trigonometric equations

Solve trigonometric equations of quadratic type

Solve trigonometric equations involving multiple angles

Use inverse trigonometric functions to solve trigonometric equations
24 Sum and Difference Formulas

Use sum and difference formulas to evaluate trigonometric functions

Use sum and difference formulas to verify trigonometric identities and to solve trigonometric equations
25 MultipleAngles and ProducttoSum Formulas

Use MultipleAngle formulas to rewrite and evaluate trigonometric functions

Use powerreducing formulas to rewrite and evaluate trigonometric functions

Use halfangle formulas to rewrite and evaluate trigonometric functions

Use producttosum formulas to rewrite and evaluate trigonometric functions
Chapter 3 Additional Topics in Trigonometry
31 Law of Sines

Use the Law of Sines to solve oblique triangles

Find the areas of oblique triangles

Use the Law of Sines to model and solve reallife problems
32 Law of Cosines

Use the Law of Cosines to solve obliques triangles

Use the Law of Cosines to model and solve reallife problems
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