Trigonometry

Table of Contents

• Basic Graphing

  • Basic Trig -360 x 360
  • Basic Trig Graph -2π x 2π by -10 x 10
  • Degree Trig Chart Creator
  • Sine Curve with Abscissa in Degrees
  • The General Cosine Function
  • Trace the Sine or Cosine Functions
  • Trace the Tangent or Cotangent Functions

• Degrees-Radian Measures

  • Degrees vs Radians
  • Radian Units
  • Basic Trig -360° x 360°
  • Full Circle Protractors

• Unit Circle

  • Creating a Unit Circle
  • Unit Circle
  • Unit CircleTriangles
  • Unit Circle Triangles
  • What class of Triangles use Pythagorean Theorem?

• Sample Problems

  • Find distance between Cities
  • Find the height
  • Raise the Flag
  • Find Building Height
  • Example of Snell's Law of Refraction

• Definitions of Trigonometry

  • Basic Terms in Geometry
  • The terms Adjacent, Hypotenuse, and Opposite sides
  • Mnemonic for Learning Trig Function Values in Quadrant I
  • The Standard Position of an Angle
  • Standard Position (Improved)
  • Defining the Coterminal Angle
  • Reference Angles
  • Trigonometry Terms
  • Dividing Trigonometric Functions
  • Finding an Inverse for the Cosine Function
  • Finding an Inverse for the Tangent Function
  • Triangle Inequality
  • Triangle Inequality
  • Trig Value Chart by 15°
  • Trig Value Chart by π/12

• Functions

  • 1st Definition of Trigonometry Functions
  • 2nd Definition of Trigonometry Functions (SohCahToa)
  • SohCahToa
  • Projection of Radius on x-Axis and y-Axis
  • Function Review of Trigonometry
  • Addition of 2 Sine Functions
  • Adding 2 Sine Functions Graphically
  • Adding Trigonometric Functions
  • Subtracting Trigonometric Functions
  • Multiplying Trigonometric Functions
  • Composition of Trigonometric Functions
  • The General Secant Function
  • The General Sine Function
  • Transform Sine/Cosecant
  • Transform Cosine/Secant
  • Transform Tangent/Cotangent
  • Phase Shift of Trig Functions {tan(x) or cot(x)}
  • Phase Shift of Trig Funct {sin(x), cos(x), sec(x), csc(x)}
  • The Period of Trig Functs {tan(x) or cot(x)}
  • The Period Trig Functions sin(x), cos(x), sec(x), or csc(x)
  • Polar graph with rectangular graph
  • Morphing Cartesian Graphs to Polar Graphs

• Identities

  • Trigonometric Identity Explorer
  • Circle of Symmetry Sine/Cosine
  • Developing the Law of the Sine
  • Relate Sin(a + b) and Sin(a-b)
  • Law of Sines
  • Developing the Law of Cosines
  • Exploring the Ambiguous Case of the Law of Sines
  • Trig Unspecified Triangle Cos Law
  • Law of Sines
  • The Sine Law