Please don't type "the following" if you don't provide a list.The tan and cot functions have a shorter period than sine and cosine.
Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).
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).
y = sin(-x)Amplitude = 1Period = 2 pi
A nonconstant function is called periodic if there exists a number that you can add to (or subtract from) the argument and get the same result. The smallest such positive number is called the period. That is, nonconstant function f(x) is periodic, if and only if f(x) = f(x + h) for some real h. The smallest positive such h is the period. For example, the sine function has period 2*pi, and the function g(x) := [x] - x has period 1.
A power series is a series of the form ( \sum_{n=0}^{\infty} a_n (x - c)^n ), representing a function as a sum of powers of ( (x - c) ) around a point ( c ). In contrast, a Fourier power series represents a periodic function as a sum of sine and cosine functions, typically in the form ( \sum_{n=-\infty}^{\infty} c_n e^{i n \omega_0 t} ), where ( c_n ) are Fourier coefficients and ( \omega_0 ) is the fundamental frequency. While power series are generally used for functions defined on intervals, Fourier series specifically handle periodic functions over a defined period.
1st period.
''Mercury (shortest),''Neptune (longest)
Mercury has the shortest period of revolution around the Sun, at approximately 88 Earth days.
The planet that has the shortest period of revolution is Mercury, which is 88 days. The planet with the longest revolution is Neptune, which is 165 years. Earth's revolution is the third shortest.
Jupiter has the shortest period of revolution among the gas giants, with a revolution period of about 11.86 Earth years.
If you are graphing speed over a period of time, speed goes on the y-axis and time goes on the x-axis.
The inner planet with the shortest period of revolution is Mercury, which orbits the sun once every 88 Earth days.
The control zone that a responder should limit his shortest entry period to is the collapse zone.
The Quin dynasty
depostion
Jupiter.
regular