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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: 212
Eric Nicholas K
Eric Nicholas K
5 years ago
Seen, bringing my schedule forward.
Kathy
Kathy
5 years ago
What time u be around tonight?
Eric Nicholas K
Eric Nicholas K
5 years ago
I will be back at 1 am just like other wed and fri late nights.
Eric Nicholas K
Eric Nicholas K
5 years ago
Kathy, you can post some questions first. Very high chance I will be able to help you later even while I am outside.
Kathy
Kathy
5 years ago
Ok

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
Here.

The graph of y = tan x is just drawn simply like that.

I believe you know what the modulus sign does to the graphs.
Kathy
Kathy
5 years ago
This graph also use same method?
Eric Nicholas K
Eric Nicholas K
5 years ago
All the same, but sin x is way too basic already.
Kathy
Kathy
5 years ago
Can I how u see how many roots? For qns 2
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
BOTH the modulus Tan x and the 1 + cos x graphs will cut the x-axis at (2, 0). However, the Tan x one is very very steep whereas the cos x turning point is very smooth.

You must know that the graph of y = 1 + cos x starts out at 2, drops to 1 at 90 deg, drops to 0 at 180 deg, goes up to 1 at 270 deg and returns to 2 at 360 deg.
Kathy
Kathy
5 years ago
I mean how to see there are how many solutions?
Eric Nicholas K
Eric Nicholas K
5 years ago
The number of solutions is determined by the number of intersections of the two graphs.

Each x-coordinate of the points of intersection represents the x-solutions to the equation concerned.
Eric Nicholas K
Eric Nicholas K
5 years ago
In this case we know for sure that the graphs meet at 180 degrees, so 180 degrees must be the solution of the given equation (you can sub into the equation manually and check that this is indeed the case). The other two solutions do not have exact values or at least cannot be determined by looking.
Eric Nicholas K
Eric Nicholas K
5 years ago
You can continue to post questions first in the meantime.
Kathy
Kathy
5 years ago
Tomorrow post. Sleeping