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Precalculus Study Guide: Trigonometry, Vectors, and Systems of Equations

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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
  • Guided course
    Coterminal Angles
    04:46

Radians

  • Converting between Degrees & Radians
    5:04

Trigonometric Functions on Right Triangles

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

Cofunctions of Complementary Angles

  • Using Cofunction Identities to Solve Equations
    4:42
  • Cofunction Identities
    6:30

Solving Right Triangles

  • Finding Missing Side Lengths
    4:18
  • Example 2
    3:22
  • Finding Missing Angles
    5:13

Defining the Unit Circle

  • Guided course
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

  • Guided course
    Sine, Cosine, & Tangent on the Unit Circle
    6:34

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

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

Inverse Sine, Cosine, & Tangent

  • Guided course
    Inverse Tangent
    3:17
  • Guided course
    Example 1
    1:08
  • Guided course
    Example 3
    1:25

Introduction to Trigonometric Identities

  • Guided course
    Simplifying Trig Expressions
    6:36
  • Guided course
    Example 1
    2:20
  • Guided course
    Example 4
    5:18

Sum and Difference Identities

  • Guided course
    Sum and Difference of Tangent
    4:47
  • Guided course
    Sum and Difference of Sine & Cosine Example 3
    2:42
  • Guided course
    Sum and Difference of Sine & Cosine
    06:14

Double Angle Identities

  • Guided course
    Double Angle Identities
    5:06
  • Guided course
    Double Angle Identities Example 1
    2:33
  • Guided course
    Double Angle Identities Example 2
    2:26

Linear Trigonometric Equations

  • Guided course
    Example 3
    3:29
  • Guided course
    Example 2
    2:17
  • Guided course
    Introduction to Trig Equations
    4:25

Solving Trigonometric Equations Using Identities

  • Guided course
    Solve Trig Equations Using Identity Substitutions
    4:42

Geometric Vectors

  • Multiplying Vectors By Scalars
    05:05
  • Multiplying Vectors By Scalars Example 1
    03:12
  • Adding Vectors Geometrically
    05:29

Vectors in Component Form

  • Finding Magnitude of a Vector Example 1
    02:26
  • Algebraic Operations on Vectors Example 1
    03:11
  • Position Vectors & Component Form Example 1
    01:36

Direction of a Vector

  • Finding Direction of a Vector Example 1
    04:19
  • Finding Direction of a Vector
    05:13
  • Finding Components from Direction and Magnitude
    04:55

Unit Vectors and i & j Notation

  • Unit Vector in the Direction of a Given Vector Example 1
    02:17
  • i & j Notation
    06:01
  • Unit Vector in the Direction of a Given Vector Example 2
    05:21

Dot Product

  • Introduction to Dot Product
    5:40
  • Find the Angle Between Vectors
    04:33

Two Variable Systems of Linear Equations

  • Example 2
    3:31
  • Solving Systems of Equations - Elimination
    6:48
  • Introduction to Systems of Linear Equations
    4:27