Geometry
Trigonometry Preview
Unit A-1 Radian Measures
- Standard A1a:
Express angles in radian measure
- Standard A1b:
Convert radian measure to degrees
Agenda
- Origin of π
- 2π Radians = 360°
- Using Stochiometry for Unit Conversion between Radians and Degrees
- Assignment A-1: Pg. 6 All
Unit A-2 Angles in Trigonometry
- Standard A2a: Measure angles as rotations
- Standard A2b:
Determine reference angles
Agenda
- Angles larger than 360 degrees
- Reference Angles
- Assignment A-2: Pg. 8 #2-12 even, 13-18
Unit A-3 Introduction to Analytic Trigonometry
- Standard A3a: Determine trigonometric ratios for special angles in standard position
- Standard A3b:
Determine the coordinates on the unit circle for terminal rays of selected rotations
- Standard A3c: Find exact values of trigonometric expressions without a calculator
Agenda
- The Unit Circle
- Angles & Quadrants on the xy plane
- The Six Trigonometric Functions
- Trigonometric Tables
- Assignment A-3: Pg. 15 Part I #1 & 2 Part II 3, 4, 6, 7, 8
Unit A-4 Exact Values & Calculator Use
- Standard A4a: Find all six exact trigonometric ratios for an angle given a coordinate point on its terminal ray
- Standard A4b:
Use a calculator to find approximate trig values for a given angle
- Standard A4c: Use a calculator to find all approximate angle measures for a given trig value
Agenda
- Finding exact values of sine, cosine, and tangent given the x and y coordinates
- Finding secant, cosecant, and cotangent values
- Inverse Trigonometric Functions
- Using the calculator to find all possible angles values for a given trig function value
- Assignment A-4: Pg. 20 Part I #1-10 Part II 11-22
Unit A-5 Trigonometric Identities
- Standard A5:Prove Trigonometric Identities and use them to simplify Trigonometric equations
Agenda
- The Three Pythagorean Identities
- sin2A + cos2A = 1
- sec2A = 1 + tan2A
- csc2A = 1 + cot2A
- Reciprocal Identities
- Assignment A-5: Pg. 24 #1, 2, 4, 5, 6, 7, 8, 10, 13
Unit A-6 Solving Trigonometric Equations
Agenda
- The Three Pythagorean Identities
- Assignment A-6:
- Screencast
- Powerpoint
- PDF Slides
Unit A-7 Vectors
- Standard A7a: Find and draw a resultant vector from other component vectors.
- Standard A7b:
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
- Assignment A-7: Pg. 37 #1-6
