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Review of angles and triangles

Practice exercise solutions

Introduction of the trigonometric functions sine, cosine, and tangent

Practice exercise solutions

Review of graphing on a number line and a Cartesian plane

Practice exercise solutions

Introduction of the reciprocal functions secant, cosecant, and cotangent

Practice exercise solutions

Introduction of cofunctions

Practice exercise solutions

How to use the special triangles

Practice exercise solutions

How to convert between degrees and radians

Practice exercise solutions

Exam review

Exam for Unit 2

How to solve right triangles

Practice exercise solutions

Problems related to angle of elevation or depression

Practice exercise solutions

How right triangles apply to life

Practice exercise solutions

Introduction of the Law of Sines to solve SAA or ASA triangles

Practice exercise solutions

How to use the Law of Sines for SSA triangles

Practice exercise solutions

Introduction of the Law of Cosines to solve SSS and SAS triangles

Practice exercise solutions

Formulas to find area of non-right triangles

Practice exercise solutions

Exam review

Exam for Unit 3

Study of angles on the Cartesian plane

Practice exercise solutions

How to find functions using points on the Cartesian plane

Practice exercise solutions

Reducing large angles to a reference angle

Practice exercise solutions

Construction of the unit circle

Practice exercise solutions

Exam review

Exam for Unit 4

Review of domain and range and introduction to even/odd functions

Practice exercise solutions

How to construct the graph of sine and cosine

Practice exercise solutions

Scaling the graphs of sine and cosine

Practice exercise solutions

Translating the graphs of sine and cosine

Practice exercise solutions

How to graph tangent and cotangent

Practice exercise solutions

How to graph secant and cosecant

Practice exercise solutions

Exam review

Exam for Unit 5

Formulas for arc length and linear and angular velocity

Practice exercise solutions

How trigonometry applies to compass bearing

Practice exercise solutions

Formulas related to simple harmonic motion

Practice exercise solutions

Introduction of vectors

Practice exercise solutions

Exam review

Exam for unit 6

Fundamental trigonometric identities

Practice exercise solutions

How to solve functions including non-special angles using a sum or a difference

Practice exercise solutions

How to solve functions including non-special angles using double the angle

Practice exercise solutions

How to solve functions including non-special angles using half the angle

Practice exercise solutions

How to solve products of trigonometric functions

Practice exercise solutions

Practice exercise solutions

How to solve trigonometric equations

Practice exercise solutions

Exam review (7.1 and 7.7)

Exam review (7.2-7.6)

Exam for Unit 7

Exam review

Final exam

**Course Overview**

Understanding Trigonometry is a course comprised of 7 units that cover the spectrum of lessons related to the functions of triangles. These lessons are intended as a stepping stone to further advanced math courses such as Calculus.

**Units**

Unit 1 covers basic information needed as a foundation to be built upon.

Unit 2 introduces the six trigonometric functions.

Unit 3 covers right triangles, how to solve them, and their applications.

Unit 4 covers angles on the Cartesian plane.

Unit 5 covers the graphs of the trigonometric functions.

Unit 6 covers applications of trigonometry.

Unit 7 covers trigonometric identities and equations.

**Contents**

78 total videos

7 units

34 video lessons

35 online quizzes and exams

35 sets of practice exercises

35 practice exercise solution videos (I correct each worksheet problem on the board one by one)

180 review questions

6 unit exams (pdf)

1 final exam (pdf)

Exam answer keys

Formulas and other visual helps for each lesson

**Course Goals**

Upon course completion, students will be prepared for more advanced math courses.

**Target Audience**

This course is intended for high school or college students that plan on taking Calculus.

**Course Requirements**

Students taking this course will need to have completed Algebra and Geometry.

- Teacher: Rebekah
- Areas of expertise: Math and science
- Education: Bachelor's in Math and Master's in Education
- Interests: I love to learn! I read and listen to podcasts a lot. I also like music, spending time outdoors, and talking with friends.
- Skills: I can play the piano, saxophone, cello, clarinet, and I sing.
- Associations: I am licensed through American Association of Christian Schools.
- Issues I care about: I am passionate about education. Parents should be able to choose what kind of education they want their children to have, and every child should have access to a quality education.

My life's passion is to help students understand math. I love teaching and enjoy spending time making math easier to understand for students of all ages.

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