Trigonometry
Prerequisite: Algebra I, Geometry and Algebra II
Text Used: Precalculus, Seventh Edition by Houghton Mifflin
Recommendation: Take this after taking Precalculus or at the same time. It is difficult to take this class without Precalculus.
Pacing: This is a semester long course. First quarter we will cover Chapter Four, sections 1-7. Second quarter, we will finish Chapter Four, complete Chapter Five and two sections of Chapter Six.
Grading: Assignments are worth 10 points.
Tests are given throughout the chapters.
Tests are worth 100 points.
Quizzes will be given after one or two sections are covered.
Quiz points will vary in point value.
A semester exam will be given worth 20%.
Material covered:
1. Radian measure (4-1)
a. Conversions
b. Story Problems using Θ = s/r
c. Degree- minutes and seconds
d. Complementary and supplementary angles
e. Co-terminal angles
2. Unit circle (4-2,4-3)
a. Domain and period of sine and cosine
b. Special values table
c. Special values as seen on a unit circle
3. Trigonometric Identities (4-3,4-4)
a. Reciprocal identities
b. Quotient identities
c. Pythagorean identities
d. Use identities to evaluate trigonometric functions
4. Trigonometric functions of any angle
a. Reference angle (4-4)
b. Trigonometric functions of acute angles (4-3)
c. Trigonometric functions of nonacute angles (4-4)
5. Graphs
a. Sine and cosine (4-5)
b. Graphs of other trigonometric functions (4-6)
6. Inverse functions (4.7)
7. Applications of trigonometry (throughout chapter 4, especially 4-8)
8. Using identities
a. To simplify an expression (5-1,5-4)
b. To verify trigonometric identities (5-2)
c. Special formulas (5-4,5-5)
i. Sum and difference formulas
ii. Double angle formulas
iii. Power reducing formulas
iv. Half angle formulas
v. Product to sum formulas
vi. Sum to product formulas
9. Solving trigonometric equations (5-3)
10. Working with oblique triangles (6-1,6-2)
a. Law of sine (6-1)
b. Area of an oblique triangle (6-1)
c. Law of cosines (6-2)
d. Heron’s area formula (6-2)