Math and Arithmetic

Is sine and cosine a periodic function?

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Answered 2011-01-14 21:00:46

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

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because sine & cosine functions are periodic.

The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.

A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be y' =-Ab sine(a+bt)

Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.

The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.

sine graph will be formed at origine of graph and cosine graph is find on y-axise

Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.

Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.

Yes, the sine function is a periodic function. It has a period of 2 pi radians or 360 degrees.

Waves are periodic function, as is the sine function.

The ratio of sine and cosine.

The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.

The cosine function is mathematical equation to determine the adjacent angle of a triangle. The cosine of an angle is the ratio of the length of the hypotenuse: so called because it is the sine of the co-angle.

Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).

Sine, Cosine, Tangent, Cosecant, Secant and Cotangent.

sine, cosine, tangent, cosecant, secant, cotangent.

Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse

It is to convert a function into a sum of sine (or cosine) functions so as to simplify its analysis.

By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.

If you draw a unit circle, the sine function can be expressed as the y-coordinate of a point on the circle; the cosine function as the x-coordinate.

a cosine is a trigonometric function which is written as cos x where x is the angle . It is represented as adjacent side/Hypotenuse.

One way is to shift it to the left by a quarter of the period.

I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.

The properties of the cosine and sine function are based on the X and Y coordinates of a point on a circle that has a radius of 1 and a center at the origin (X=0,Y=0). If the angle of the line from the origin to the edge of the circle, at any arbitrary point (X,Y), with respect to the X axis is theta, then sine(theta) is X, and cosine(theta) is Y.

Sine = -0.5 Cosine = -0.866 Tangent = 0.577

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