Sinx vs. Cosx: What Are the Key Differences?

  • Thread starter Ry122
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In summary, the main difference between y=sinx and y=cosx when graphed is that the cosine graph is the same as the sine graph, but shifted 90 degrees to the left. Also, both functions use the equation y=Asin(BX+C)+D, but the cosine function should not be confused with the sine function.
  • #1
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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  • #3
That's too in depth for me.
I just wanted to know the difference between
y=sinx and y=cosx when graphed.
 
  • #4
Ok, try this: http://faculty.ed.umuc.edu/~swalsh/Math%20Articles/Graphing%20Sin%20Cos.html
 
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  • #5
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.
 

What is the Sinx function?

The Sinx function is a trigonometric function that calculates the ratio of the opposite side to the hypotenuse in a right triangle. It is usually denoted as sin(x) or simply sinx.

What is the Cosx function?

The Cosx function is a trigonometric function that calculates the ratio of the adjacent side to the hypotenuse in a right triangle. It is usually denoted as cos(x) or simply cosx.

How do you graph Sinx and Cosx functions?

To graph Sinx and Cosx functions, first plot the x-axis and the y-axis on a coordinate plane. Then, plot points on the graph by substituting different values for x in the Sinx and Cosx equations. Connect these points with a smooth curve to create the graph.

What is the period of Sinx and Cosx functions?

The period of Sinx and Cosx functions is 2π, which means that the graph of these functions repeats itself every 2π units on the x-axis. This is because the Sinx and Cosx functions are periodic functions.

What is the relationship between Sinx and Cosx functions?

The Sinx and Cosx functions are closely related as they are defined in terms of each other. The Cosx function is the derivative of the Sinx function, and the Sinx function is the integral of the Cosx function. Additionally, the graphs of Sinx and Cosx functions are sinusoidal curves that are shifted horizontally by π/2 radians from each other.

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