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.
• 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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