Textbook
Chapter 1: Indices
Chapter 2: Standard Form
Chapter 3: Consumer Mathematics: Savings and Investments, Credit and Debt
Chapter 4: Scale Drawings
Chapter 5: Trigonometric Ratios
Chapter 6: Angles and Tangents of Circles
Chapter 7: Plans and Elevations
Chapter 8: Loci in Two Dimensions
Chapter 9: Straight Lines
Chapter 5: Trigonometric Ratios
What you need to learn in this chapter
In this chapter, we will be learning about trigonometric ratios. We will start by understanding how to identify the opposite side and adjacent side of an acute angle in a right-angled triangle. We will then make and verify conjectures about the relationship between acute angles and the ratios of the sides of right-angled triangles. This will help us define sine, cosine, and tangent. By the end of this chapter, we will be able to use these ratios to solve problems involving right-angled triangles.
Topics in this chapter
1. Sine, Cosine and Tangent of Acute Angles in Right-angled Triangles
What you will learn in this topic
- Identify the opposite side and adjacent side based on an acute angle in a right-angled triangle
- Make and verify the conjecture about the relationship between acute angles and the ratios of the sides of right-angled triangles, and hence define sine, cosine and tangent
- Make and verify the conjecture about the impact of changing the size of the angles on the values of sine, cosine and tangent
- Determine the values of sine, cosine and tangent of acute angles
- Determine the values of sine, cosine and tangent of 30 degree, 45 degree and 60 degree angles without using a calculator
- Perform calculations involving sine, cosine and tangent
- Solve problems involving sine, cosine and tangent
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