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secondary 4 | A Maths
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Kathy
Kathy

secondary 4 chevron_right A Maths chevron_right Singapore

Thank you

Date Posted: 5 years ago
Views: 207
Eric Nicholas K
Eric Nicholas K
5 years ago
Let me know if you need detailed treatment to how to sketch sine and cosine graphs.
Kathy
Kathy
5 years ago
Can you let me know?

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
Q1a to Q2c

Will do the rest later. Graph sketching such as Q2c to Q2e requires the techniques of graph sketching. There are two different but equally effective approaches to draw sine and cosine graphs.
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Q2d to Q3d

Will start writing again soon.
Kathy
Kathy
5 years ago
Ok
Kathy
Kathy
5 years ago
I still don’t know how to draw this qns 2 graph
Not understand
Eric Nicholas K
Eric Nicholas K
5 years ago
Ok, will do up the explanations once I am ready.
Kathy
Kathy
5 years ago
Ok. Thank you
I mean I don’t know how to draw and don’t know how to see
Kathy
Kathy
5 years ago
How to see the qns and how put in what number when to put in
Eric Nicholas K
Eric Nicholas K
5 years ago
Will write them up shortly.
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Q3e to Q4c
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Q2a and Q2d with explanations
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Two random examples.

For the first method of calling out essential numbers, we need the following.

1. Sine or Cosine?
2. How many cycles?
3. Where is the centre?
4. Is the graph upside down?
5. Max/Min?

Then we draw the graph.

For the second method of transformations, we need the following.

1. Graph of the basic y = sin x (the cosine case is similar)
2. Graph of y = sin bx (after factoring in the frequency b)
3. Graph of y = a sin bx (the signage of a determines whether the graph should be flipped or not, the value of a determines whether the graph is compressed or elongated)
4. Graph of y = a sin bx + c (the value of c determines whether the graph gets shifted up or down)
Eric Nicholas K
Eric Nicholas K
5 years ago
Graphs like this are very difficult to explain on paper only (vocal aids like classroom teaching will be more effective). But I have included the essence of the drawings. In my opinion my first method of calling out essential numbers is probably easier for you.