Sinx vs. Cosx: What Are the Key Differences?

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SUMMARY

The key difference between the sine function (y=sinx) and the cosine function (y=cosx) lies in their phase shift when graphed. Specifically, the cosine graph is equivalent to the sine graph shifted 90 degrees to the left. Both functions can be expressed in the form y=A*sin(BX+C)+D, but the cosine function can also be represented as y=A*sin(BX+C-90°)+D. This relationship is established by the identity sin(90°-x) = cos(x).

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Ry122
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What differences is there between a sinx and cosx function?
Do they both use this equation?
y=Asin(BX+C)+D
 
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That's too in depth for me.
I just wanted to know the difference between
y=sinx and y=cosx when graphed.
 
Ok, try this: http://faculty.ed.umuc.edu/~swalsh/Math%20Articles/Graphing%20Sin%20Cos.html
 
Last edited by a moderator:
Maybe cristo just missed it, but Ry122 is actually right, cosine can also be expressed in that form of asin(bx+c) + d.

This happens because sin (90degrees-x)= cos x.

So in answer to your original question, the difference when graphed between sin x and cos x is that the cos graph is the same as sins, moved back 90 degrees to the left.
 

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