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Table of Contents
1. The Trigonometric Functions. Angles. Angle Relationships and Similar Triangles. Trigonometric Functions.
Using the Definitions of the Trigonometric Functions.
2. Acute Angles and Right Triangles. Trigonometric Functions of Acute Angles. Trigonometric Functions of Non-Acute
Angles. Finding Trigonometric Function Values Using a Calculator. Solving Right Triangles. Further Applications
of Right Triangles.
3. Radian Measure and the Circular Functions. Radian Measure. Applications of Radian Measure. The Unit Circle
and Circular Functions. Linear and Angular Speed.
4. Graphs of the Circular Functions. Graphs of the Sine and Cosine Functions. Translations of the Graphs of
the Sine and Cosine Functions. Graphs of the Tangent and Cotangent Functions. Graphs of the Secant and Cosecant
Functions. Harmonic Motion.
5. Trigonometric Identities. Fundamental Identities. Verifying Trigonometric Identities. Sum and Difference
Identities for Cosine. Sum and Difference Identities for Sine and Tangent. Double-Angle Identities. Half-Angle
Identities.
6. InverseCircular Functions and Trigonometric Equations. InverseCircular Functions. Trigonometric Equations
I. Trigonometric Equations II. Equations Involving Inverse Trigonometric Functions.
7. Applications of Trigonometry and Vectors. Oblique Triangles and the Law of Sines.