This course covers mathematical topics in trigonometry. Trigonometry is the study of triangle angles and lengths, but trigonometric functions have far reaching applications beyond simple studies of triangles. This course is designed to help prepare students to enroll for a first semester course in single variable calculus.
Upon completing this course, you will be able to:
1. Evaluate trigonometric functions using the unit circle and right triangle approaches
2. Solve trigonometric equations
3. Verify trigonometric identities
4. Prove and use basic trigonometric identities.
5. Manipulate trigonometric expressions using standard identities
6. Solve right triangles
7. Apply the Law of Sines and the Law of Cosines

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Basic Trigonometric Identities I

There are several useful trigonometric identities which allow us to simplify trigonometric expressions and find values for the trigonometric functions beyond the special angles. We will begin by exploring the sum and difference identities. Warning: Generally, sin(x+y) does NOT equal sin(x)+sin(y)!!!