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Trigonometry

via YouTube

Overview

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This course on Trigonometry aims to teach students various concepts and skills in trigonometry. By the end of the course, learners will be able to understand trigonometric identities, solve trigonometric equations, graph trigonometric functions, work with special right triangles, use inverse trigonometric functions, apply trigonometric formulas, and solve triangles using the Law of Sines and the Law of Cosines. The teaching method includes tutorials, examples, and explanations to help students grasp the complex topics. This course is intended for individuals interested in improving their understanding of trigonometry, particularly students studying Algebra 2 or higher-level mathematics.

Syllabus

Trig Identities (Learn Algebra 2).
Right Triangle Trigonometry (Learn Algebra 2).
Draw an Angle in Standard Position (Radians & Degrees).
Solving Trigonometric Equations Multiple Angles.
Evaluate the Six Trigonometric Functions of the Angle.
Evaluate the Six Trigonometric Functions Given a Point.
How to Graph Tan (Tangent) - More Challenging.
Sine or Cosine Writing Equations Given Graph.
Special Right Triangles How to Solve.
Angle of Elevation and Depression Problems.
Bearing Math Problems.
Cofunction Identities (Trigonometry) - Understanding Them.
How to Graph Arctan (tangent inverse).
How to Graph Arccos (cosine inverse).
How to Graph Arcsin (sine inverse).
Finding a Sinusoidal Equation Given a Maximum and Minimum.
Half Angle Formula Positive or Negative?.
Verifying Trigonometric Identities (Examples).
How to Graph Tangent (Simplified).
Master the Unit Circle!.
Ambiguous Case Law of Sines.
Trigonometry: How to Solve Right Triangles.
Inverse Trig Ratios Solving for Angles.
SOH CAH TOA (Trigonometry).
30-60-90 Special Right Triangles.
45-45-90 Special Right Triangles.
Inverse Trigonometric Functions Using Unit Circle to Find Angles Between 0 and 2 pi.
Half Angle Formulas - How to Use.
How to Use Double Angle Formulas.
Sum and Difference Formulas.
Solving Trig Equations.
Unit Circle Finding Trig Values.
Reference Angles.
Coterminal Angles.
Simplifying Trigonometric Expressions (Using Identities).
Converting Degrees to Radians.
Finding Complement and Supplement of an Angle (Radians & Degrees).
Graphing Sine and Cosine Functions (More Challenging Examples).
How to Graph Secant and Cosecant.
Graphing Sin and Cos.
Graphing Tan and Cot.
Trig Ratios Sin Cos Tan (SOHCAHTOA).
Understanding Even Odd Identities.
Law of Cosines.
Law of Sines (Trigonometry).
Writing Trig Functions as Algebraic Expressions.
Pythagorean Theorem.
Find the Area of Regular Polygon Given Radius.
Graphing Sine, Cosine, Cosecant, Secant, Tangent & Cotangent (Complete Guide).
Special Right Triangles 30-60-90 & 45-45-90 (3 Easy Methods Explained).
Graphing Sine and Cosine Functions with Transformations (Multiple Examples).
Evaluating Inverse Trigonometric Functions (arcsin, arccos, arctan) Using Unit Circle.
Solving Trigonometric Equations - How to Write General Solution.
Law of Sines and Law of Cosines (4 Examples).
Solving Triangles Using Law of Sines and Law of Cosines.
Law of Sines (SSA) Ambiguous Case 2 Triangles Possible.
Law of Sines AAS, ASA, SSA Ambiguous Case.
Draw an Angle in Radians (Standard Position).
Trigonometry Basics (Sin, Cos, Tan).
Trigonometry - Solving Right Triangles.
Find Reference Angle in Radians and Degrees (Formulas).
Tangent Sum and Difference Formulas How to Use.

Taught by

Mario's Math Tutoring

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