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# Can anyone remember the formulas of period, phase shift and range of the sin function?

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Can anyone remember the formulas of period, phase shift and range of the sin function?

Guest Jul 18, 2014

### Best Answer

#6
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This is an old post that was our "reference material" sticky note topic.

It is worth looking at!

http://web2.0calc.com/questions/graphing-trig-functions_1#rr2

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Ninja, could you please reference this whole thread underneath it - thank you.  Melody.

Melody  Jul 19, 2014
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### 6+0 Answers

#1
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$$Do you mean$$A*sin(\frac{2\pi t}{T}+\phi)$$\\ where A is maximum amplitude, t is time, T is period and \phi is phase angle? The range is then \pm A$$\$

Alan  Jul 18, 2014
#2
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y=A*sin(B*x-C)+D

How do A,B,C and D change the sin function. What formulas I can use to find out Amplitude, Period, Phase Shift and Range? Do I have to create the graph? Also if you know a link to share with me that shows changes I would apreciate it.

Guest Jul 18, 2014
#3
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Here's a pretty good page that explains it all.......(I can't add anything, so I won't !!!)

http://www.intmath.com/trigonometric-graphs/trigo-graph-intro.php

CPhill  Jul 18, 2014
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Thanks I will check that page.

Guest Jul 18, 2014
#5
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y=A*sin(B*x-C)+D

Here, B is 2pi/L where L is the (presumably spatial) period.  As L gets bigger the sine wave "stretches out"; as it gets smaller, the wave oscillates more rapidly.

-C is the phase shift.  When C is zero the sin wave starts at zero (and y starts at D) when x is zero.

A is the maximum amplitude.  As A gets bigger the peak to trough variation gets bigger.

D is a fixed offset.  It's the average value about which the sin wave oscillates.

Alan  Jul 18, 2014
#6
+91436
+5
Best Answer

This is an old post that was our "reference material" sticky note topic.

It is worth looking at!

http://web2.0calc.com/questions/graphing-trig-functions_1#rr2

--------------------------------

Ninja, could you please reference this whole thread underneath it - thank you.  Melody.

Melody  Jul 19, 2014

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