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The cosine function, like all of the trigonometric functions, is periodic about the rotation around a circle. Since the cosine is defined as the adjacent/hypotenuse of a right triangle, you can clearly see that its value can never be greater than one or less than -1 since the hypotenuse is always longer than the adjacent side. It turns out that, indeed, the cosine's range is from -1 to 1, written [-1,1].
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How can you tell if a graph is a sine function or a cosine function?
sine graph will be formed at origine of graph and cosine graph is find on y-axise
How do you differentiate a cosine function That is what is the derivative of the cosine of x with respect to the independent variable x?
The derivative of cosine of x is simply the negative sine of x. In mathematical terms f'(x) = d/dx[cos(x)] = -sin(x)
What is the period of the cosine function y is equal to 3 cos x?
y=3cos(x) peroid is 2pie
What is the domain and range for the function 3sin2x?
The domain of f(x)=3sin(2x) is all real numbers ----Any number can be input into this function and receive a valid output The range of f(x)=3sin(2x) is [-3,3] ----The range of y=sin(x) is [-1,1] frequency modulation, which happens when the argument of a sine function is modified, does not affect the range of a cosine or sine function, so the range of y=sin(2x) is also [-1,1]. Amplitude modulation, which happens when the entire function is multiplied by a numerical constant, does affect the range. If any number put into y=sin(2x) will output a maximum of 1, the most an input can cause in y=3sin(2x) will be 3 times the maximum of y=sin(2x), and the same for the minimums, so the range of y=3sin(2x) is from -3 to 3. If you would like a more complete explanation of the concepts underlying domain and range of functions, message me and I can more completely explain them.
What is an inverse cosine?
The inverse of the cosine is the secant.
What is the rage of a cosine function?
I was not aware that the cosine function was in fashion!The range, on the other hand, is [-1, 1].
What is the inverse of the cosine function?
The inverse of the cosine function is arcosine. The domain is −1 ≤ x ≤ 1 since the range of the cosine function is from -1 to 1. The range is from 0 to pi radians or 0 to 180 degrees.
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
What a sentence for cosine?
Cosine is a trigonometrical function.
What is the domain of the cosine function?
-1<cosine<1
The inverse of the cosine function?
The inverse of the cosine is the secant.
What is the formula for the y-intercept of a cosine function?
The Y-Intercept of the cosine function is X = 0, Y = cosine(0) = 1.
Is a cosine function continuous?
Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.
Is it true or false that the cosine function is an odd function?
False; the cosine function is an even function as cos(-x) = -cos(x).
How do you get a period of 3 in a cosine function?
The argument of the cosine function must be (2pi/3)*x radians
What are the attributes of a cosine function?
There are many "attributes" of a cosine function. Some examples of attributes are as follows: For, constants a, b, n, y=a*cos(nx)+b has an amplitude of a, a period of 2pi/n, a range of [-a+b,a+b], a derivative of y'=-an*sin(nx).
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
