# Trigonometry & Pre-Calculus Print

Trigonometry/Pre-Calculus prepares students to continue on to Calculus. The first semester is a study of trigonometric functions, their graphs, and applications. Students will learn to solve right triangles and how to apply the Law of Sines and the Law of Cosines. In the second semester, students will explore various types of functions, such as: radical, rational, polynomial, exponential, and logarithmic functions. They will also learn about polar coordinates, complex numbers, sequences, and series. Algebra 1, Algebra 2, and Geometry are prerequisites for this course.

A Texas Instruments TI-30 calculator is recommended. Algebra 1, Algebra 2, and Geometry are prerequisites for this course.

**REQUIRED BUT NOT PROVIDED-**

TI-84 Plus Graphing Calculator

Trig:

1. Convert angle measures between measurement units.

2. Classify triangles by angles or side lengths.

3. Use properties of similar triangles to solve problems.

4. Solve trigonometric functions for angle measures and side lengths.

5. Solve trigonometric functions in terms of Cartesian coordinates and right triangles.

6. Approximate trigonometric functions.

7. Use trigonometric functions to solve word problems.

8. Evaluate trigonometric functions in degree or radian measures.

9. Find the arc length of a circle given the radius and central angle measure.

10. Find the area of a sector given the radius and central angle measure.

Precalc:

11. Determine Whether a Function is One-to-One

12. Determine the Inverse of a Function Using a Map, Set, Equation, or Graph of the Function

13. Solve Exponential and Logarithmic Equations

14. Convert Exponential Statements to Logarithmic Statements and Logarithmic Statements to Exponential Statements

15. Evaluate Operations on Logarithmic Functions

16. Use Exponential and Logarithmic Functions to Create and Evaluate Exponential Growth and Decay Problems

17. Plot Points Using Polar Coordinates

18. Convert between Polar and Rectangular Coordinates

19. Transform Equations between Polar and Rectangular Forms

20. Graph Polar Equations

21. Plot Points in the Complex Plane

22. Use De Moivre’s Theorem

23. Find Complex Roots

24. Analyze Conics

25. Analyze and Graph Polar Equations of Conics

26. Graph Parametric Equations

27. Find a Rectangular Equation for a Curve Defined Parametrically

28. Solve Systems of Equations by Substitution or Elimination

29. Identify and Solve Inconsistent Systems of Equations Containing Two or Three Variables

30. Write the Augmented Matrix of a System of Linear Equations

### Course Outline

Semester 1:

- Chapter #1: Trigonometric Functions
- Chapter #2: Acute Angles and Right Triangles
- Chapter #3: Radian Measure and the Unit Circle
- Chapter #4: Graphs of the Circular Functions
- Chapter #5: Trigonometric Identities
- Chapter #6: Inverse Circular Functions and Trigonometric Equations
- Chapter #7: Applications of Trigonometry and Vectors

Semester 2:

- Chapter #1: Graphs
- Chapter #2: Functions and Their Graphs
- Chapter #3: Linear and Quadratic Functions
- Chapter #4: Polynomial and Rational Functions
- Chapter #5: Exponential and Logarithmic Functions
- Chapter #9: Polar Coordinates
- Chapter #10: Analytic Geometry
- Chapter #11 Systems of Equations and Inequalities
- Chapter #12 Sequences; Induction; the Binomial Theorem
- Chapter #13 Counting and Probability