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**Course Overview:**

This “precalculus for 12^{th} grade” video course goes into the details of the main concepts in trigonometry, as part of the precalculus curriculum. The course is designed to be completed in an average of three months. The emphasis on only the trigonometry part of the common precalculus curriculum aims to provide a solid basis in that particular area which will help develop the critical thinking skills required to study and master higher level mathematics in general.

**This course includes:**

- 30 video lessons

- 30 worksheets

- 30 worksheet review videos (where the solutions to the problems in the worksheets are explained step by step)

- 30 Online Quizzes

- Over 60 practice problems

- A Quiz answer key

- Over 11 hours of video lessons/ worksheet review videos

**Course Goals:**

Upon course completion, students will be able to:

- Find the measure of an angle in degrees or radians

- Define and use the six trigonometric functions

- Identify the different types of sinusoidal models

- Define and use the inverse trigonometric functions

- Derive and use the different trigonometric identities

- Solve trigonometric equations

- Solve triangles

**Course Requirements:**

Students taking this course will need to have completed Algebra for 11^{th} grade

**Course Topics:**

- Angles and their measure: the degree and radian measure
- Coterminal, complementary and supplementary angles
- Arc length, angular speed, linear speed, area of a sector
- Basic concepts about trigonometric functions and right angle trigonometry
- The six trigonometric functions: Sine, Cosine, tangent, secant, cosecant, cotangent
- Trigonometric functions and the unit circle
- Representations of the trigonometric functions
- Simple harmonic motion
- Sinusoidal model
- Inverse trigonometric functions
- Reciprocal and Pythagorean identities
- Quadrants and signs of trigonometric functions
- Negative angle identities
- Simplifying trigonometric expressions
- Verifying trigonometric identities
- Reference angles
- Basic trigonometric equations, inverse trigonometric equations
- Trigonometric equations
- Sum and difference identities for sine, cosine and tangent
- Cofunction identities
- Double angle and power reducing identities
- Half angle identities, solving equations
- Product to sum and sum to product identities
- Oblique triangles
- Law of sines
- Law of cosines
- Area formulas, Heron's formula

- Teacher: Anais
- Areas of expertise: Mathematics.
- Education: MS Applied mathematics, Columbia University
- Interests: Reading, Hiking, Mathematics.
- Skills: French, Math Curriculum Development
- Associations: Columbia University Alumni Association, MS Applied Mathematics
- Issues I care about: Education

My objective is to really focus on the details of the material. Specially with a subject such as mathematics, memorizing formulas without really understanding where formulas come from and why and when they should be applied will eventually become an obstacle in the path of students.

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