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July 16, 2019, 08:48:53 pm

Author Topic: Mathematics - trignomic functions  (Read 77 times)

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Lydia.k

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Mathematics - trignomic functions
« on: June 24, 2019, 07:45:21 am »
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Hey,

I am not sure how to sketch the following, as was wondering if anyone could help me?

Sketch y=sin(x+pi) for 0<X<2pi

Cheers,
Lydia

RuiAce

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Re: Mathematics - trignomic functions
« Reply #1 on: June 24, 2019, 08:32:59 am »
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Hey,

I am not sure how to sketch the following, as was wondering if anyone could help me?

Sketch y=sin(x+pi) for 0<X<2pi

Cheers,
Lydia

Start by sketching \(y = f(x)\), where \(f(x) = \sin x\).

Then \(f(x+\pi) = \sin(x+\pi)\), so youíre after the curve \(y=f(x+\pi)\). Recall that this is a translation of \(y=f(x)\) to the left by \(\pi\) units, so thatís what huh need to sketch.

(Note that the graph will correspond to that of \(y=-\sin x\). This is not a coincidence, because \(\sin(x+\pi)=-\sin x\) is a trigonometric identity for third quadrant angles.)
« Last Edit: June 24, 2019, 09:40:33 am by RuiAce »

Lydia.k

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Re: Mathematics - trignomic functions
« Reply #2 on: June 24, 2019, 09:38:33 am »
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Thanks a lot :) ;D