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Is sine and cosine a periodic function?

Yes they are. Both have a a period of 2 pi


Why are sine and cosine functions used to describe periodic?

because sine & cosine functions are periodic.


Is the fnction in fourier series periodic?

Yes, a Fourier series represents a periodic function. It decomposes a periodic function into a sum of sine and cosine terms, each of which has a specific frequency. The resulting series will also be periodic, with the same period as the original function. If the original function is not periodic, it can still be approximated by a Fourier series over a finite interval, but the series itself will exhibit periodic behavior.


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 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.


What a sentence for cosine?

Cosine is a trigonometrical function.


What is the domain of the cosine function?

-1<cosine<1


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.


The inverse of the cosine function?

Inverse of Cosine is 'ArcCos' or Cos^(-1) The reciprocal of Cosine is !/ Cosine = Secant.


What is the range of the cosine function?

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].


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).