MAT 124 - College Mathematics II

Objectives

1. Solve triangles and word problems involving triangles by employing knowledge of similar triangles, trigonometric ratios of right triangles, the law of sines, and the law of cosines.
2. Perform computations with angles expressed in radian or degree-minute-second notation.
3. Given that f is a trigonometric function and θ is an angle:
   1. Evaluate a given expression, f(θ).
   2. Given f and the value of f(θ), find all possible values of θ.
   3. Given f and a real number, r, in the range of f, find arcf(r) and Arcf(r).
   (Be able to do the work above without a calculator if the reference angle of θ is 0°, 30°, 45°, 60°, or 90°.)
4. Solve uniform circular motion problems involving arc length, angular velocity, and linear velocity.
5. Without a calculator sketch the graph of any of the six basic trigonometric functions or a variation of such a graph involving phase shift and/or change in amplitude and/or period.
6. Write an equation to describe a specified instance of harmonic motion.
7. Perform vector computations, including
   1. addition and subtraction
   2. resolution into horizontal and vertical components
   3. conversion between rectangular and polar form
8. Use vectors to solve problems involving displacement, velocity, and forces.
9. Know the traditional trigonometric identities:
   1. reciprocal
   2. ratio
   3. Pythagorean
   4. cofunction
   5. opposite angle
   6. sum or difference of two angles
   7. half-angle
   8. double-angle
10. Use known identities to prove other given equations to be identities.
11. Solve trigonometric equations.

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Syllabus

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Outline

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Text

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Examples

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