Unit 4 - Trigonometry Part 1
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Unit 4 - Trigonometry Part 1 -----
Lesson 4.1
In this lesson we revisit the primary trigonometric ratios and how to use them to find missing information on a triangle. Additionally, we look at the reciprocal ratios for sin, cos and tan relative to some angle, theta.
Lesson 4.2
In this lesson we review how to apply our trigonometric ratios in a new situation of compound triangles (multiple triangles attached). Additionally, we revise Sine and Cosine law and their applications to non-right angled triangles.
Blank Lesson
Lesson 4.2 Video
Homework: Page 318 #7
Lesson 4.3
In this lesson we introduce the concept of the initial arm and terminal arm on a cartesian grid. We then represent the angle created by the initial arm and terminal arm using our primary and reciprocal trig ratios. We also revisit the idea simplifying radicals.
Blank Lesson
Lesson 4.3 Video
Homework: Page 330 # 6a
Lesson 4.4
In this lesson we develop and begin using the special triangles that are created by the 30 degree, 60 degree, and 45 degree terminal arms. We find exact values of angles by representing them as a ratio of the side lengths on the special triangles.
Blank Lesson
Lesson 4.4 Video
Lesson 4.4 Homework (attached to lesson)
Lesson 4.5
In this lesson we look at how to find specific trigonometric ratios and angles 0-360 degrees using the special triangles developed in the last lesson. We will learn about the CAST rule for which helps with what trig ratios are positive/negative in which quadrants.
Blank Lesson
Lesson 4.5 Video - Part 1
Lesson 4.5 Video - Part 2
Lesson 4.6
In this lesson we revisit the Sine Law, and explore its application in ambiguous cases. We look at the height of the triangle created from provided information and decide whether or not one triangle, two triangles or no triangles are possible given the conditions provided.
Blank Lesson
Lesson 4.6 Video - Part 1
Lesson 4.6 Video - Part 2
Lesson 4.6 Video - Part 3
