Technology Intensive Concurrent Enrollment

Math 1060 - Trigonometry
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Last Updated: February 10, 2016

Description

Trigonometry is a field of mathematics in which the geometric properties of the angles and edges of triangles are examined in detail. Real-world problems involving trigonometry are common in engineering, physics, construction and design.

For students who are proficient in College algebra, this course presents trigonometric functions, polar functions, trigonometric equations, and solutions of right triangles and oblique triangles. Polar coordinates, complex numbers, parametric equations, and vectors are also introduced. Students are required to learn basic trigonometric facts such as the sine, cosine, and tangent values of special angles without using a calculator.  Students are also required to learn the fundamental trigonometric identities.

Learning Outcomes

Upon completion of this course students will be able to

1. Convert decimal degrees to degree-minute-second and vice versa.
2. Find a supplementary angle or a complementary angle.
3. Determine if an angle is a quadrantal angle.
4. Determine if two angles are coterminal.
5. Find velocity, angular velocity, frequency, angular frequency, and period of a motion.
6. Apply the Reference Angle Theorem.
7. Convert angle measures between degrees and radians.
8. Find the trigonometric functions using a right triangle, unit circle, or any point on the terminal side of an angle.
9. For each trigonometric function, identify properties such as domain and range, and draw the graphs.
10. Evaluate trigonometric functions for special angles.
11. Evaluate trigonometric functions of any angle.
12. State and apply the fundamental trigonometric identities.
13. Apply double, half-angle, and sum and difference identities.
14. Solve right triangles using definitions of the trigonometric functions and oblique triangles using the Law of Sines and the Law of Cosines.
15. Graph trigonometric functions and identify such properties as amplitude, period, phase shift, and vertical shifts, when appropriate.
16. Evaluate and use inverse trigonometric functions and identify their graphs.
17. Use trigonometry to solve application problems.
18. Prove trigonometric identities.
19. Solve trigonometric equations.
20. Convert complex numbers between rectangular and polar form.
21. Apply De Moivre's Theorem.
22. Solve problems related to vectors.
23. Apply the dot product.
24. Graph parametric and polar equations.

Course Modules:
1. Angles and their Measure
2. The Unit Circle: Cosine and Sine
3. The Six Circular Functions and Fundamental Identities
4. Trigonometric Identities
5. Graphs of Trigonometric Functions
6. The Inverse Trigonometric Functions
7. Trigonometric Equations
8. Application of Sinusoids
9. The Law of Sines
10. The Law of Cosines
11. Polar Coordinates
12. Graphs of Polar Equations
13. Polar Form of Complex Numbers
14. Vectors
15. The Dot Product and Projection
16. Parametric Equations