Textbook
SPM Preparation
Percubaan SPM 2024 (Negeri)
Chapter 1: Variation
Chapter 2: Matrices
Chapter 3: Consumer Mathematics: Insurance
Chapter 4: Consumer Mathematics: Taxation
Chapter 5: Congruency, Enlargement and Combined Transformations
Chapter 6: Ratios and Graphs of Trigonometric Functions
Chapter 7: Measures of Dispersion of Grouped Data
Chapter 8: Mathematical Modeling
SPM Preparation
Chapter 6: Ratios and Graphs of Trigonometric Functions
What you need to learn in this chapter
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.
Topics in this chapter
1. The Value of Sine, Cosine and Tangent for Angle from 0 to 360 degree
What you will learn in this topic
- 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.
2. The Graphs of Sine, Cosine and Tangent Functions
What you will learn in this topic
- 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.
Live Tuition Recordings
Chapter 6: RATIO AND GRAPH OF TRIGONOMETRIC FUNCTIONS (PART 2)
Tutor: Miss Jannah
Wednesday
23 Jul 2025
05:00 pm
REVISION PART 4: 2023 SPM TRIAL QUESTIONS (SET OPERATION)
Tutor: Miss Jannah
Thursday
19 Sep 2024
08:00 pm
CHAPTER 6: RATIO AND GRAPH OF TRIGONOMRIC FUNCTION (PART3)
Tutor: Miss Jannah
Thursday
01 Aug 2024
08:00 pm
CHAPTER 6: RATIO AND GRAPH OF TRIGONOMRRIC FUNCTION (PART2)
Tutor: Miss Jannah
Thursday
25 Jul 2024
08:00 pm
CHAPTER 6: RATIO AND GRAPH OF TRIGONOMRRIC FUNCTION (PART1)
Tutor: Miss Jannah
Thursday
18 Jul 2024
08:00 pm
Nisbah Dan Graf Fungsi Trigonometri (Set soalan SPM)
Tutor: Cikgu Maria
Saturday
08 Oct 2022
08:00 pm
Nisbah Dan Graf Fungsi Trigonometri (Lakaran graf tan dan pengiraan khusus)
Tutor: Cikgu Maria
Saturday
01 Oct 2022
08:00 pm
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