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What is the period of the cosine function y is equal to 3 cos x?
Psychiper
y=3cos(x)
peroid is 2pie
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∙ 14y ago
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How can you prove that 1-2 cosine squared over sine times cosine is equal to tangent minus cotangent?
sin2 + cos2 = 1 So, (1 - 2*cos2)/(sin*cos) = (sin2 + cos2 - 2*cos2)/(sin*cos) = (sin2 - cos2)/(sin*cos) = sin2/(sin*cos) - cos2/(sin*cos) = sin/cos - cos-sin = tan - cot
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)
Express as a single sine or cosine function 6 sin x cos x?
sin(2x)=(1/2)sin(x)cos(x), so 6sin(x)cos(x)=12sin(2x)
Sine divided by cosine?
Trig identity... sin/cos = tangent
Sine squared in terms of cosine?
(1 - cos(2x))/2, where x is the variable. And/Or, 1 - cos(x)^2, where x is the variable.
Why is cos an even function?
An even function is one where f(x) = f(-x) For cosine, cos(x) = cos(-x), thus cosine is an even function.
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).
Why is the period of secant 2 pi?
It is the same period as cosine function which is 2 pi because sec x = 1/cos x
Cos x equals -cos x plus 1?
No, but cos(-x) = cos(x), because the cosine function is an even function.
What are the important points you are to use in graphing the cosine function?
The basic cosine function is bounded by -1 and 1. It is a periodic function with a period of 2*pi radians (360 degrees). cos(0) = 1, cos(pi/2) = 0, cos(pi) = -1, cos(3pi/2) = 0, cos(pi) = 1. In between these values it forms a smooth curve. Also, it may help to understand that when the curve crosses the x-axis, its slope is 1 or -1.
What is cos of a negative angle?
The cosine function is an even function which means that cos(-x) = cos(x). So, if cos of an angle is positive, then the cos of the negative of that angle is positive and if cos of an angle is negative, then the cos of the negative of that angle is negaitive.
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).
Is x the cosine in math?
No, actually x is the variable in mathematics. cos(x) or cosine is considered a trigonometric function with a variable x.
Are The sine and cosine of acute angles equal?
The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071
What is the minimum value that the function y equals cos x assumes?
Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
How do you find inverse cosine on a TI-84?
I don't know this model, but most calculators have one or more special function keys, which may be labelled Shift, Function, Inv, etc.; you have to press this key before you press the cosine key. This is correct, you have to press the "2ND" button (top left) and then "COS". You will notice that "COS-1" is written above the "COS" button- this is the function you want.
What does cos squared x - Sin squared x equal?
2 x cosine squared x -1 which also equals cos (2x)
