In this chapter, we will be learning about the ratios of sine, cosine, and tangent for angles between 0 and 360 degrees. We will explore the values of these ratios for different angles and understand how they relate to each other. We will also study the graphs of sine, cosine, and tangent functions and learn how to make and verify conjectures about their values in different quadrants. Additionally, we will determine the values of these ratios for angles in quadrants II, III, and IV based on their corresponding reference angles.
• Make and verify conjecture about the value of sine, cosine and tangent for angles in quadrants II, III and IV with the corresponding reference angle.
• Determine the value of sine, cosine and tangent for angles in quadrants II, III and IV based on the corresponding reference angle.
• Determine the angle when the value of sine, cosine and tangent are given.
• Solve problems involving sine, cosine and tangent.
• Draw graphs of trigonometric functions y = sin x, y = cos x dan y = tan x for 0 ≤ x ≤ 360, hence compare and contrast the characteristics of the graphs.
• Investigate and make generalisations about the effects of changes in constants a, b and c on the graphs of trigonometric functions: (i) y = a sin bx + c (ii) y = a cos bx + c (iii) y = a tan bx + c for a > 0, b > 0.
• Solve problems involving graphs of sine, cosine and tangent functions.
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