The period of trigonometric function is the distance between repetitions of the function. The "x" value of the space it takes to start over.
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The only trig functions i can think of with horizontal assymptotes are the inverse trig functions. and they go assymptotic for everytime the non-inverse function is equal to zero.
It is used in hyperbolic functions; it's the rule to change a normal trig function into hyperbolic trig function. Example: cos(x-y) = cosx cosy + sinx siny Cosh(x-y) = coshx coshy - sinhx sinhy Whenever you have a multiplication of sin, you write the hyperbolic version as sinh but change the sign. also applied when: tanxsinx (sinx)^2 etc... Hope this helps you
A load that is not sinusoidally varying (i.e. resembling that of a graph of the function sin(x) or cos(x)). This means the load is not cycling or periodic so it does not repeat itself over and over - which is exactly what the graph of the trig function sin(x) demonstrates.
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.
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).