Math Analysis
Chapter 2
Unit 2-1
- Standard 2a: Draw angles that are negative or are larger than 180°
- Standard 2b: Find the quadrant and reference angles of a given angle in
standard position.
- Standard 2c: Given a point or the quadrant of the terminal side of an angle, find the six exact trigonometric values.
- Standard 2d: Given a trigonometric value and the quadrant of an angle, find the other five exact trigonometric values.
Agenda
- Screencast Review: Angles on the x-y plane
- Positive & Negative Angles
- Co-terminal Angles
- Angles in Standard Position
- Six trigonometric functions of an angle
- Desmos Activity
- Assignment 2-1:Pg 38 #1-14
Unit 2-2
- Standard 2e: Convert between radians and degrees.
- Standard 2f: Apply 30-60-90 and 45-45-90 triangle dimensions to the unit circle
- Standard 2g: Use exact values from the special triangles to simplify trigonometric expressions
Agenda
- Radian measure of an angle
- How did radians come about?
- How do we convert between radians and degrees?
- Special Triangles and the Unit Circle
- Special Angles and Trigonometric Expressions
- Assignment 2-2: Part A Pg 46 #1-9 Part B Pg 47 #10-16
Unit 2-3 Reference Angles & The Graphing Calculator
- Standard 2h: Use a calculator to find approximate trigonometric values for a given angle and approximate angle values for a given trigonometric value.
Agenda
- What the calculator tells you
- sin-1 and tan-1 angles are in QI and IV
- cos-1 angles are in QI and II
- Using Reference Angles to...
- Find values of an angle given its sine value
- Find values of an angle given its cosine value
- Find values of an angle given its tangent value
- Giving all possible values for an angle
- Degree measure ±360n
- Radian Measure ±2πn
- Finding Inverse Reciprocal Values (sec-1, csc-1, & cot-1 buttons aren't on the TI-84)
- Assignment 2-3: Pg 52-53 #1-18
Unit 2-4 Vectors
- Standard 2i: Find and draw a resultant vector from other component vectors..
- Standard 2j: Find the direction angle of a resultant vector from other component vectors.
Agenda
- Vectors versus Line Segments
- Direction
- Magnitude (Size)
- Adding and Subtracting Vectors
- Using Trigonometric Functions with Vectors
- Cosine & the x-component
- Sine & the y-component
- Using Cosine to Find the Direction of a Vector
- Modelling Vector Problems
- Assignment 2-4: Pg 63 #1-10, 13