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What else can I help you with?
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
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)
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?
f(x) = Cos(x) f'(x) = -Sin(x) Conversely f(x) = Sin(x) f'(x) = Cos(x) NB Note the change of signs.
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.
What is the period of the function f(x) cos 2x?
The function ( f(x) \cos 2x ) has a period determined by the cosine component. The cosine function ( \cos 2x ) has a period of ( \frac{2\pi}{2} = \pi ). Therefore, regardless of the form of ( f(x) ), the overall function ( f(x) \cos 2x ) will also have a period of ( \pi ), assuming ( f(x) ) does not introduce any additional periodicity.
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).
The inverse of the cosine function?
Inverse of Cosine is 'ArcCos' or Cos^(-1) The reciprocal of Cosine is !/ Cosine = Secant.
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 a cosine function?
A cosine function is a mathematical function defined as the ratio of the adjacent side to the hypotenuse in a right triangle, typically denoted as ( \cos(x) ), where ( x ) is the angle in radians. It is a periodic function with a period of ( 2\pi ) that oscillates between -1 and 1. The graph of the cosine function is a wave-like curve that starts at 1 when ( x = 0 ) and decreases to -1, then returns to 1. Cosine functions are widely used in trigonometry, physics, engineering, and signal processing.
