Chabot College
Fall 2002
Course Outline for Mathematics 36
TRIGONOMETRY
Catalog Description:
36 - Trigonometry
3 units
Plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric
equations, graphs and identities; triangle solutions. Polar coordinates. Prerequisite: Mathematics 57
and Mathematics 55 or Mathematics 55B (all completed with a grade of C or higher) or an appropriate
skill level demonstrated through the Mathematics Assessment process. May not receive credit if
Mathematics 37 has been completed. 3 hours
Prerequisite Skills:
Before entering the course the student should be able to:
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perform basic operations on complex numbers;
solve quadratic equations by factoring, completing the square, and quadratic formula;
find complex roots of a quadratic equation;
sketch the graphs of functions and relations:
a. algebraic, including polynomial and rational
b. logarithmic
c. exponential
d. circles;
find and sketch inverse functions;
perform function composition;
solve exponential and logarithmic equations;
apply the concepts of logarithmic and exponential functions;
solve systems of linear equations in three unknowns using elimination and substitution;
apply the properties of and perform operations with radicals;
apply the properties of and perform operations with rational exponents;
solve equations and inequalities involving absolute values;
solve equations involving radicals;
graph linear inequalities in two variables;
find the distance between two points;
find the midpoint of a line segment;
define and/or illustrate:
a. segment
b. ray
c. angle
d. distance between points on a line
e. perpendicular and parallel lines
f. midpoint of a segment;
demonstrate:
a. the elements of a formal proof
b. the ability to utilize (1) above in the solution of problem material
c. geometric inequalities
d. the relation of arcs and angles formed by chords, secants and tangents to circles through
proofs and problems
e. the relation of circles and regular polygons, both inscribing and circumscribing;
form a conclusion based on mathematical logic;
compute areas and volumes of geometric figures;
do constructions with straight edge and compass.
Expected Outcomes for Students:
Upon the completion of the course the student should be able to:
1. identify and use the trigonometric ratios in problem solving;
2. use radian measure;
Chabot College
Course Outline for Mathematics 36
Trigonometry
Fall Semester 2002
Page 2
3. define trigonometric functions in terms of the right triangle and the unit circle;
4. write down from memory the values of sine, cosine, and tangent functions of standard angles,
both in degree and radian measure;
5. write down from memory the Pythagorean identities, reciprocal identities, double angle
formulas for sine and cosine, and sum and difference formulas for the sine and cosine;
6. prove trigonometric identities;
7. use trigonometric formulas;
8. solve trigonometric equations with multiple angles over different intervals;
9. use the law of sines and the law of cosines to solve oblique triangles;
10. graph trigonometric functions;
11. graph the inverse sine, inverse cosine, and inverse tangent functions;
12. convert between polar coordinate system and rectangular coordinate system;
13. graph polar equations.
Course Content:
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Trigonometric functions
Trigonometric equations
Trigonometric formulas and identities
The graphs of trigonometric functions and their inverses
Polar coordinates
Solution of triangles and related problems
Method of Presentation:
1. Lectures
2. Group discussions
3. Problem sessions
Assignments and Methods of Evaluating Student Progress:
1. Typical Assignments
a. Exercises from the text book
Read section 3.1 Do exercises 1 – 13 odd, 15 – 20 all, and 27
b. Collaboratives
Give the students unit circles on a rectangular grid system. Have the students draw
the graphs of y = sin x, y = cos x and y = tan x.
2. Methods of Evaluation Student Progress
a. Homework
b. Quizzes
c. Midterms
d. Final Examination
Textbook(s) (Typical):
Analytic Trigonometry with Applications, Barnett/Ziegler/Byleen, Brooks/Cole Publishing Co.,1999
Special Student Materials:
Scientific calculator
CSS 9-05-01
MATH 36 Outline Fall 2002