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Graphs of Trigonometric Function

Further Mathematics SS 2 Week WEEK .......... Preview
Lesson Details (Preview)

Week Range: ................... - ...................

Date: ...................

Time: ...................

Duration: 40 minutes minutes

Theme: Trigonometric Functions and Their Graphs

Sub-topic: Graphs of Sine, Cosine, and Tangent

Learning Objectives (Preview)

By the end of the lesson, students should be able to:

  1. Sketch the graphs of $y = \sin x$, $y = \cos x$, and $y = \tan x$ for $0 \leq x \leq 2\pi$.
  2. Identify the amplitude, period, and asymptotes of the basic trigonometric graphs.
  3. +1 more objectives in full version
Rationale (Preview)
This lesson is fundamental for WAEC and NECO Further Mathematics, where graph interpretation is a frequent question. Understanding the shapes of sine, [Preview only]
Presentation Steps (Preview)
Step / Time Teacher's Activities Student's Activities Learning Points
Step 1: 5 minutes - Introduction
Recall the unit circle definition of trigonometric functions. Ask the class to predict the shape of [Preview only]
Review previous knowledge and share initial ideas about the shape of the graphs.
Trigonometric functions are periodic and continuous (except tangent).
Step 2: 10 minutes - Sine and Cosine Graphs
Demonstrate plotting $y = \sin x$ and $y = \cos x$ for $0 \leq x \leq 2\pi$ using key points. Highli [Preview only]
Copy the key points and sketch the graphs on their notebooks.
Sine starts at 0, Cosine starts at 1; both have amplitude 1 and period $2\pi$.
+3 more steps in full version
Student Note (Preview)
1,444 characters total — showing first 400
## Graphs of Trigonometric Functions **What are Trigonometric Graphs?** Trigonometric graphs are visual representations of sine, cosine, and tangent functions. They show how the ratio of sides in a triangle changes as the angle increases, forming periodic waves. **Key Points** 1. **Sine ($y = \sin x$):** Starts at $(0,0)$, peaks at $(\frac{\pi}{2}, 1)$, period $2\pi$. 2. **Cosine ($y = \cos x$):** [Preview only]

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