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
Trigonometric Functions or Trig Ratios:
Sine
Cosine
Tangent
Review of Sine, Cosine and Tangent
Secant, Cosecant, Cotangent
Sin, Cos, Tan, Sec, Csc, Cot
Co-Functions
Evaluate Trigonometric Angles:
Special Angles 30°, 45°, 60°
Using a Calculator
Inverse Trigonometry
Degrees and Radians
Applications of Trigonometry
Trigonometry Problems
Sine Problems
Cosine Problems
Tangent Problems
Find Unknown Sides of Right Angles
Find Height of Object using Trigonometry
Trigonometry Applications
Trigonometry Word Problems Videos
Angle of Elevation and Depression
Area of Triangle using the Sine Function
Law of Sines or Sine Rule
Law of Cosines or Cosine Rule
Solving a Triangle - SAS - Finding Missing Sides/Angles
Trigonometry in the Cartesian Plane
Angles at Standard Position and Coterminal Angles
Unit Circle
Reference Angle
Trigonometric Ratios in the Four Quadrants
Finding the Quadrant in Which an Angle Lies
Coterminal Angles
Trigonometric Functions in the Cartesian Plane
Degrees and Radians
Reference Angle (Degrees & Radians) Videos
Evaluating Trigonometric Functions for an Angle, Given a Point on the Angle
Evaluating Trigonometric Functions Using the Reference Angle
Finding Trigonometric Values Given One Trigonometric Value/Other Info
Evaluating Trigonometric Functions at Important Angles
Graphs of Trigonometric Functions
Trigonometry Graphs
Sine Graph
Cosine Graph
Tangent Graph
Transformation of Trigonometric Graphs
Graphing Sine and Cosine with Different Coefficients
Maximum and Minimum Values of Sine and Cosine Functions
Graphing Trig Functions: Amplitude, Period, Vertical and Horizontal Shifts
Tangent, Cotangent, Secant, Cosecant Graphs
Finding a Formula for a Trigonometric Graph
Trigonometric Identities
Trigonometic Identities
Trigonometric Identities: How to Derive / Remember Them
Using Trigonometric Identities to Simplify Expressions
Sum and Difference Identities
Double-Angle and Half-Angle Formulas
Trigonometric Equations
Simplifying Trigonometric Expressions Using Trig Identities
Simplifying Trigonometric Expressions Involving Fractions
Simplifying Products of Binomials Involving Trigonometric Functions
Factoring and Simplifying Trigonometric Expressions
Solving Trigonometric Equations
Solving Trigonometric Equations using Factoring
Examples with Trigonometric Functions: Even, Odd or Neither
Proving a Trigonometric Identity
IIT JEE Trigonometry Problem 1
IIT JEE Trigonometric Maximum
IIT JEE Trigonometric Constraints
Trigonometric System Example
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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