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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: 288
Shaun Lin
Shaun Lin
5 years ago
Which question is it?
Eric Nicholas K
Eric Nicholas K
5 years ago
Seen. Will do all of them, but may not be finishing up all in this session.

See 7 Answers

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Eric Nicholas K
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5997 answers (Tutor Details)
1st
Q5, Q6
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Eric Nicholas K
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5997 answers (Tutor Details)
Q7a to Q9

Will do the rest when I have more time.
Kathy
Kathy
5 years ago
Ok. You can see the qns right?
Eric Nicholas K
Eric Nicholas K
5 years ago
Yes, including the next page’s bottom right questions. Will do up the techniques of Trigo graph drawing if I can still remember and when I have time.
Kathy
Kathy
5 years ago
ok thank you so much
Kathy
Kathy
5 years ago
Can I know what is UP?
Why u use red and blue pan draw?
Eric Nicholas K
Eric Nicholas K
5 years ago
I will give you a preview of the notes. The vertical shift determines whether the graph is shifted up or down from The Central position.
Eric Nicholas K
Eric Nicholas K
5 years ago
Done! Sending up the two methods soon.
Eric Nicholas K
Eric Nicholas K
5 years ago
Kathy, take a look at the two different methods. I will now take a short break and once done, I will redo questions 2a to 2e (in the other post) using both methods for you to have familiarity. From there you will decide which method you prefer.

As for graphs of tangent functions, you can just read from the book - very few things to note for such graphs).
Eric Nicholas K
Eric Nicholas K
5 years ago
I draw in red and blue to show you the graphs.

The dotted graph is just a working graph without any vertical shift.

The blue graph is the actual graph as required in the question after shifting the red graph by the value c.
Kathy
Kathy
5 years ago
Ok
Thanks
Eric Nicholas K
Eric Nicholas K
5 years ago
I will do one random example next.
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Eric Nicholas K
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5997 answers (Tutor Details)
Q10 and Q11
Kathy
Kathy
5 years ago
Tonight u free?
Eric Nicholas K
Eric Nicholas K
5 years ago
Writing some of the questions up but I am still outside, so I will just write up a few questions until I run out of the page space before continuing tonight at 11 pm.
Kathy
Kathy
5 years ago
Ok
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Eric Nicholas K
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5997 answers (Tutor Details)
Q12 to Q15
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Eric Nicholas K
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Done. You can continue to post questions and I will look at it tonight.
Eric Nicholas K
Eric Nicholas K
5 years ago
Q1 range of values is -1 <= y <= 1
Q2 range of values is -2 <= y <= 2
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Eric Nicholas K
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5997 answers (Tutor Details)
Here is the first method to draw a sine or cosine graph.

This method requires you to find

1. the number of cycles of the graph
2. the centre value
3. the max and min value
4. the direction of the graph (which way it goes from the start).
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Eric Nicholas K
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Here is the second method of drawing graph.

This method requires transformation from the most basic graph y = sin x or y = cos x.

We need to do the transformations in this order.

1. The frequency
2. The magnitude of the amplitude
3. The signage of the amplitude
4. The vertical shift is always LAST

We must draw the graphs in each stage from 1 to 4 (plus the starting graph y = sin x or y = cos x) for a total of 5 graphs.

This transformation method is particularly useful in future studies (especially in the A Levels if you are taking A Levels).
Kathy
Kathy
5 years ago
Just sin and cosine?
Eric Nicholas K
Eric Nicholas K
5 years ago
The most common are sine and cosine. Tangent is very easy to remember (you only need to remember the number of cycles).