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Precalculus Study Notes: Angles, Trigonometric Functions, and Their Graphs

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Angles in Standard Position

  • Drawing Angles in Standard Position
    5:50
  • Example 1
    3:59

Coterminal Angles

  • Example 1
    3:51
  • Percorso guidato
    Coterminal Angles
    04:46

Complementary and Supplementary Angles

  • Solving Problems with Complementary & Supplementary Angles
    2:28
  • Example 1
    3:04
  • Intro to Complementary & Supplementary Angles
    3:35

Radians

  • Converting between Degrees & Radians
    5:04

Defining the Unit Circle

  • Percorso guidato
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

  • Percorso guidato
    Sine, Cosine, & Tangent on the Unit Circle
    6:34

Common Values of Sine, Cosine, & Tangent

  • Percorso guidato
    Example 1
    6:04
  • Percorso guidato
    Sine, Cosine, & Tangent of 30°, 45°, & 60°
    5:08

Reference Angles

  • Percorso guidato
    Reference Angles on the Unit Circle
    5:31
  • Percorso guidato
    Coterminal Angles on the Unit Circle
    3:47
  • Percorso guidato
    Example 1
    3:03

Graphs of the Sine and Cosine Functions

  • Amplitude and Reflection of Sine and Cosine
    5:05
  • Example 1
    2:18
  • Graph of Sine and Cosine Function
    5:53

Phase Shifts

  • Phase Shifts
    6:31
  • Example 1
    3:42

Graphs of Secant and Cosecant Functions

  • Graphs of Secant and Cosecant Functions
    6:22

Graphs of Tangent and Cotangent Functions

  • Introduction to Cotangent Graph
    5:37
  • Example 1
    3:40
  • Introduction to Tangent Graph
    5:43

Trigonometric Functions on Right Triangles

  • Introduction to Inverse Trig Functions
    4:28
  • Fundamental Trigonometric Identities
    5:32
  • Introduction to Trigonometric Functions
    6:04

Special Right Triangles

  • 45-45-90 Triangles
    04:39
  • Common Trig Functions For 30-60-90 Triangles
    6:24
  • 30-60-90 Triangles
    5:35