TRIGONOMETRY
The word ‘trigonometry’ means ‘triangle measurement’.
Trigonometry is an important tool for evaluating measurements of height and distance. It plays an important role in surveying, navigation, engineering, astronomy and many other branches of physical science.
Trigonometry involves the ratios of the sides of right triangles. The three ratios are called tangent, sine and cosine.
These lessons on trigonometry will include the following topics:
Basic Trigonometry
Identify the Sides of Right Triangle- Hypotenuse, Adjacent & Opposite (includes video)
Trigonometric Functions: (includes video)
Sine (includes video)
Cosine (includes video)
Tangent (includes video)
Review of Sine, Cosine and Tangent (includes video)
Secant, Cosecant, Cotangent
(includes video)
Co-Functions
(includes video)
Evaluate Trigonometric Angles:
Special Angles 30°, 45°, 60° (includes video)
Using a Calculator (includes video)
Inverse Trigonometry (includes video)
Degrees and Radians (includes video)
Applications of Trigonometry
Trigonometry Problems
Sine Problems (includes video)
Cosine Problems (includes video)
Tangent Problems (includes video)
Trigonometry Applications (includes video)
Angle of Elevation and Depression (includes video)
Area of Triangle using the Sine Function (includes video)
Law of Sines or Sine Rule (includes video)
Law of Cosines or Cosine Rule (includes video)
Trigonometry in the Cartesian Plane
Angles at Standard Position and Coterminal Angles (includes video)
Unit Circle (includes video)
Reference Angle (includes video)
Trigonometric Ratios in the Four Quadrants (includes video)
Trigonometric Functions in the Cartesian Plane (includes video)
Degrees and Radians (includes video)
Graphs of Trigonometric Functions
Trigonometry Graphs (includes video)
Sine Graph (includes video)
Cosine Graph (includes video)
Tangent Graph (includes video)
Transformation of Trigonometric Graphs (includes video)
Trigonometric Identities
Trigonometic Identities (includes video)
Using Trigonometric Identities to Simplify Expressions (includes video)
Sum and Difference Identities (includes video)
Double-Angle and Half-Angle Formulas (includes video)
Trigonometric Equations (includes video)
Trigonometry Lessons in Videos
A series of free High School Trigonometry Video Lessons from Brightstorm.
Pythagorean Theorem
Pythagorean Theorem Proofs
Square Root Operations
Using the Pythagorean Theorem to find a Missing Hypotenuse
Using the Pythagorean Theorem to find a Missing Leg
Space Diagonals
Converse of the Pythagorean Theorem
45-45-90 Triangles
30-60-90 Triangles
Distance Formula
Equation of a Circle
Calculating Coordinates in the Unit Circle
Basic Trigonometry
Trigonometric Ratios: Sine
Trigonometric Ratios: Cosine
Trigonometric Ratios: Tangent
Inverse Trigonometric Functions
Angle of Elevation and Depression
Using Sine to Calculate the Area of a Triangle
The Law of Sines
The Law of Cosines
Trigonometric Functions
Radian Measure of Angles
The Definitions of Sine and Cosine
Evaluating Sine and Cosine at Special Acute Angles
Evaluating Sine and Cosine at Other Special Angles
Graphs of the Sine and Cosine Functions
Transforming the Graphs of Sine and Cosine
More Transformations of Sine and Cosine
Find an Equation for the Sine or Cosine Wave
The Tangent Function
Evaluating the Tangent Function
Graph of the Tangent Function
Transforming the Tangent Graph
Intercepts and Asymptotes of Tangent Functions
Trigonometric Identities
The Reciprocal Trigonometric Functions
Graphing the Reciprocal Trigonometric Functions
Using Trigonometric Identities
Transforming the Cotangent Graph
Transforming Secant and Cosecant
Asymptotes of Secant, Cosecant, and Cotangent
Advanced Trigonometry
The Inverse Sine Function
The Inverse Cosine Function
The Inverse Tangent Function
Using the Inverse Trigonometric Functions
Solving Trigonometric Equations
Trigonometric Equations that Require Factoring
The Cosine Addition Formulas
The Sine Addition Formulas
Using the Sine and Cosine Addition Formulas to Prove Identities
The Double-Angle Formulas
Other Forms of the Cosine Double-Angle Formula
The Half-Angle Identities
Angle Inclination of a Line
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