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MCR3U UNIT 4 – TRIGONOMETRIC RATIOS Expectations By the end of this unit, you will be able to: 1. write the primary and reciprocal trig ratios in terms of the sides of a right triangle. 2. determine the exact values of the sine, cosine, and tangent of the special angles: 00, 300, 450, 600, and 900. 3. determine the values of the sine, cosine, and tangent of angles related to special angles from 00 to 3600. 4. sketch the graphs of f x sin x , f x cos x , and f x tan x . 5. determine the measure of two angles from 00 to 3600 that have the same trigonometric ratio. 6 solve simple trig equations using a graph or the CAST Rule. 7. solve problems involving triangles in two-dimensional settings using the primary trig ratios, the cosine law, and the sine law. 8. solve problems in three-dimensional settings using the primary trig ratios, the cosine law, and the sine law. Homework The schedule and homework assignments below are subject to change at the teacher’s discretion. Day Topic Homework 1 Primary and Reciprocal Trig Ratios Worksheet #1, 3-6, 8, 10-12, 14 2 Special Angles Worksheet #4-12 3 Angles between 00 and 900 in the X-Y Plane Pg 237 C3, C4, #1ad, 2e, 3af, 5, 20*, 21, 22 4 Angles between 900 and 3600 Pg. 238 #1bce, 2abc, 3bcde Worksheet 5 Graphs of Sine, Cosine, and Trig Functions Worksheet 6 Quiz Day 2-4 7 Solving Trig Equations Worksheet The Sine and Cosine Laws Ambiguous Case Worksheet 8 Solving 2-D Problems Pg. 254 #3-5,7, 10, 11, 14, 18, 21 9 Quiz Day 5-7 Solving 3-D Problems Using Trigonometry Pg. 265 #1-3, 5-7 TIPS Pg. 268 14, 15, 17, 19 10 Review Pg. 276 #1-12 Pg. 278 #1-10 11 Test