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C3 Modulus please help!!

Hi

No idea how to start drawing the curves l 2sinx l and sin l 2x l? I know how sin l x l looks like, how do i start from there?

thankyou!!

Reply 1

Mike_123

Original post by Nina8

Hi

No idea how to start drawing the curves l 2sinx l and sin l 2x l? I know how sin l x l looks like, how do i start from there?

thankyou!!

Well if f(x) = sin|x| (which is sinx with the negative x values having the same y values as the respective positive x values)

then f(2x) = sin |2x|

you should know how to draw this graph from C1 (think of f(ax))

Reply 2

krisshP

Original post by Nina8

Hi

No idea how to start drawing the curves l 2sinx l and sin l 2x l? I know how sin l x l looks like, how do i start from there?

thankyou!!

Use Exam solutions, he explains it quite nicely, here

www.examsolutions.net/maths-revision/syllabuses/Edexcel/period-1/C3/module.php

:smile:

(edited 10 years ago)

Reply 3

brianeverit

Original post by Nina8

Hi

No idea how to start drawing the curves l 2sinx l and sin l 2x l? I know how sin l x l looks like, how do i start from there?

thankyou!!

Draw the curves

y=2\sin x \mathrm{\ and\ }y=\sin 2x

and reflect the portions below the x axis in the x axis.

Reply 4

steve44

To picture

sin 2x

:

First note we know that

sin x

repeats itself and goes through one complete cycle between

x=0

and

x= 2 \pi

.

Whereas

sin 2x

goes through one complete cycle between

x=0

and

x= \pi

instead. So it is like the function

sin x

but squashed up in the x-direction.

(edited 10 years ago)

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C3 Modulus please help!!

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