No Rulesbook or CAS
4 Short Answer Questions
17 Marks
Content
Solve a Trigonometric Equation for a set domain
Simple Angle
Harder Angle
Find the exact values of a Trigonometric Ratio
Calculate the Period and Amplitude from an equation
Graph a Trigonometric Function
Without Translations
With Translations
State the transformations within an equation
Rulesbook and CAS enabled
14 Multiple Choice Questions
14 Marks
Content
Convert between radians and degrees
Calculate an angle or value from a triangle
Determine the period, amplitude, range and domain
Calculate exact and general solutions
graph trig functions
identify equations from transformations
Rulesbook and CAS enabled
1 Extended Response Question
12 Marks
Content
Application style question involving a carnival ride
Scroll to the bottom of this page to see the screencasts.
Exercise 8A
Trigonometric Ratios (0:00)
Exercise 8B
The Unit Circle (0:00)
All Schools Teach Crap - includes interactive (7:09)
Exact Values (14:10)
Symmetry (19:54)
Problem 1: Finding exact values - in degrees (28:00)
Problem 2: Finding exact values - in radians (38:09)
Problem 3: Symmetry (48:07)
Identities (52:16)
Problem 4: Making use of Identity #1 (55:26)
Problem 5: Making use of Identity #5 (56:22)
Problem 6: Making use of Identities #1 & #2 (58:09)
Exercise 8C
Graphing Circular Functions (0:00)
Sine & Cosine Graphs (0:00)
Problem 1: Sketching Sine (6:54)
Problem 2: Sketching Cosine (13:33)
Problem 3: Sketching Sine & Cosine with a restricted domain (17:59)
Transformations and general key features of Sine & Cosine (23:18)
Problem 4: Sketching functions with vertical & horizontal translations (26:23)
Problem 5: Another sketch (33:51)
Problem 6: Stating transformations, sketching, domain & range (38:19)
Tangent Graphs - includes explanation with interactive (41:57)
Problem 7: State period & sketch Tangent graph (48:03)
Problem 8: Stating transformations, asymptotes & sketching (49:00)
Exercise 8D
Introducing Trigonometric Equations (0:00)
Problem 1: Solving for equation involving cosine through 1 revolution of Unit Circle (12:36)
Problem 2: Solving for tan (16:39)
Problem 3: General Solution of a circular function (21:47)
Problem 4: Finding solutions when x has a coefficient (26:22)
Explanation of using CAS for solving Trigonometric Equations (29:19)
Problem 5: Using CAS to solve Trigonometric Equations that can't be solved by hand (30:36)
Problem 6: Finding solutions for equations that have horizontal translations and dilations (33:02)
Problem 7: Using Identities to produce a solvable equation (37:31)
Exercise 8E