##### Finding a sinusoidal function

 Mathematics Tutor: None Selected Time limit: 1 Day

Jul 9th, 2015

at  x = 0   y =1

at x =1   y =0

at x =-1   y = 0

this is characteristics of Cos function

hence the required function is y = cos (x)

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Jul 9th, 2015

Thanks for helping me out! When I first posted this pic the info didn't attach well with it..I apologize..

This graph has points going through -5,0 and 1,0 (that looks to me to be the full period) What is the sinusoidal function of this particular graph?

Jul 9th, 2015

actually x values must be in angle terms  like 0°, 30°, 45° .... etc

as we know cos 0 =1 , cos 60 = 0.5 and cos 90 = 1

based on that I have answered that its a cosine function ....

Jul 9th, 2015

I'm using formula y=A sin (B(x-c))+D

D looks to equal 0 since the midpoint is on the x-axis.

And amplitude looks to be 1

I know that to find B I must use 2pi/absolute value of B to find the period. Hopefully this helps.

Jul 9th, 2015

Doing my own math I've got

y=cos(x(2pi/7))

it's very close to the points -5,0 and 1,0 but not quite...

Jul 9th, 2015

In my view the coefficients should be as follows

A = 1

B = Pi

C = -1/2

D = 0

y = 1 sin Pi(x+1/2) +0

Jul 9th, 2015

y = cos( pi x)

looks more appropriate

Jul 9th, 2015

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Jul 9th, 2015
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Jul 9th, 2015
May 23rd, 2017
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