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Is pi periodic?

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Answered 2009-03-20 16:28:00

no every periodic number is rational but pi is irrational

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No. Every periodic number is rational but pi is irrational.

Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.

The digits of pi are not periodic. Pi is an irrational constant, and if its digits were periodic, it could be expressed as a ratio of constant integers, meaning it would be rational.

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

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

You can invent any function, to make it periodic. Commonly used functions that are periodic include all the trigonometric functions such as sin and cos (period 2 x pi), tan (period pi). Also, when you work with complex numbers, the exponential function (period 2 x pi x i).

pi is an irrational number so most calculations involving circles, ellipses and other curves are likely to involve pi. All periodic motion, such as electromagnetic waves, sound, pendulums, etc are linked to pi.

Because the trigonometric functions (sine and cosine) are periodic, with period 2*pi. If the argument were not restricted, you would have an infinite number of answers. You could, of course, restrict the argument to any interval of size 2*pi: 3.5pi to 5.5pi, for example.

If you mean the number pi, no. It has an infinite number of digits (in any base), and those are not periodic.

Same as any other function - but in the case of a definite integral, you can take advantage of the periodicity. For example, assuming that a certain function has a period of pi, and the value of the definite integral from zero to pi is 2, then the integral from zero to 2 x pi is 4.

Pie is tasty. Pi, however, is what you use in periodic functions. +++ And you do so because periodic functions have properties linked to those of the circle. (You can illustrate this by plotting a sine curve on graph-paper, from a circle whose diameter is the peak-peak amplitude of the wave..)

Trigonometric functions are periodic so they are many-to-one. It is therefore important to define the domains and ranges of their inverses in such a way the the inverse function is not one-to-many. Thus the range for arcsin is [-pi/2, pi/2], arccos is [0, pi] and arctan is (-pi/2, pi/2). However, these functions can be used, along with the periodicities to establish relations which extend solutions beyond the above ranges.

pi5 = pi * pi * pi * pi * pi

Form factor of any periodic wave is [RMS CURRENT]/[AVERAGE CURRENT]. For sinusoidal wave RMS current=I/sqrt(2); AVERAGE current=2I/pi; Therefore, Form factor=[I/sqrt(2)]/[2I/pi] =pi/{2*sqrt(2)} =1.11

the same as pi squared, which is 9.86960440109

negative pi (-pi) = -3.14

It means pi to the power of two. pi square = pi * pi

The square root of pi times pi is simply pi. Because pi*pi=pi squared, the squared and the square root will cancel each other, leaving just pi.

[pi^(1/3)]^2 * pi = pi^(2/3) * pi = pi^(5/3) The answer is the cubic root of pi to the fifth power.

Um, reality check. pi is pi. pi is 3.1415. There is no separate Transformer pi.

(pi + pi + pi) = 3 pi = roughly 9.4248 (rounded) Well, if you use the common shortened version of pi which is 3.14 and add that 3 times, you get 9.42.

pi pi sili evolves into pi pi 1st in the mulecular pi industry. But if you subtract the remaining sili, it evolves into the 67th multivrese. but if its pi day, it would evolve into 2.57

(cos(pi x) + sin(pi y) )^8 = 44 differentiate both sides with respect to x 8 ( cos(pi x) + sin (pi y ) )^7 d/dx ( cos(pi x) + sin (pi y) = 0 8 ( cos(pi x) + sin (pi y ) )^7 (-sin (pi x) pi + cos (pi y) pi dy/dx ) = 0 8 ( cos(pi x) + sin (pi y ) )^7 (pi cos(pi y) dy/dx - pi sin (pi x) ) = 0 cos(pi y) dy/dx - pi sin(pi x) = 0 cos(pi y) dy/dx = sin(pi x) dy/dx = sin (pi x) / cos(pi y)

g = (4(Pi)2*l)/t2where l, is the pendulum length and t,is the periodic time.

Pi is a number. There are no fractals of pi.

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