# period of a function calculator

To embed a widget in your blog's sidebar, install the Wolfram|Alpha Widget Sidebar Plugin, and copy and paste the Widget ID below into the "id" field: We appreciate your interest in Wolfram|Alpha and will be in touch soon. 1. a = 3. Added Aug 4, 2011 by blue_horse in Mathematics. Make your selections below, then … Functions: What They Are and How to Deal with Them, Normal Probability Calculator for Sampling Distributions. Other Units: Change Equation Select to … Digg; StumbleUpon; Delicious; Reddit; Blogger; Google Buzz; Wordpress; Live; TypePad; Tumblr; MySpace; LinkedIn; URL; EMBED. For example, what is the frequency of $$\sin x$$? Solving for period. Those parameters pretty determine the behavior of trigonometric function. Instructions: Use this Period and Frequency Calculator to find the period and frequency of a given trigonometric function, as well as the amplitude, phase shift and vertical shift when appropriate. Solution: period (T) = NOT CALCULATED. Observe that not all functions have a period. Sine Amplitude and Period. Following the above formula, since we know that for sine the period is $$P = 2\pi$$: This calculator will also compute the amplitude, phase shift and vertical shift if the function is properly defined. Function Period. Instructions: Use this Period and Frequency Calculator to find the period and frequency of a given trigonometric function, as well as the amplitude, phase shift and vertical shift when appropriate. Check out the graph below: Recall that the cosecant function $$\csc x$$ is the inverse of $$\sin x$$, this is $$\csc x = \frac{1}{\sin x}$$, so then the period of $$\csc x$$ is also $$2\pi$$. 2. b = 0. When dealing with periodic functions, there are some crucial parameters that need to be computed, and these are the period ($$P$$) and the frequency ($$f$$). Just enter the trigonometric equation by selecting the correct sine or the cosine function and click on calculate to get the results. This website uses cookies to improve your experience. Check it out: Similarly as before, the cotangent function $$\cot x$$ is the inverse of $$\tan x$$, with $$\cot x = \frac{1}{\tan x}$$, so then the period of $$\cot x$$ is also $$\pi$$. Trigonometry Calculator Sin Cos Tan Inverse, Different Types Of Triangle Based On Angle. Log InorSign Up. Please type in a periodic function (For example: $$f(x) = 3\sin(\pi x)+4$$). For example, if we consider function, $$f(x) = \sin x$$, its period is $$2\pi$$, as shown in the graph below: For $$\cos x$$ we also have the the period is $$2\pi$$. Loading... Trigonometry: Period and Amplitude Trigonometry: Period and Amplitude. If you need to graph a trigonometric function, you should use this trigonometric graph maker. Similarly, the secant function $$\sec x$$ is the inverse of $$\cos x$$, this is $$\sec x = \frac{1}{\cos x}$$, so then the period of $$\sec x$$ is $$2\pi$$ as well. y = asinbx. Sine Amplitude and Period. And vice-verse, the period is the inverse of the frequency. The trigonometric equation you enter should be in the form of A sin(Bx − C) + D (or) A cos(Bx − C) + D. Make use of the above amplitude period phase shift calculator for trigonometric functions to do the amplitude calculations for your sine and cosine functions. 9. periodicity y = cos (x) + sin (x) periodicity f (x) = cos (2x + 5) periodicity f (x) = sin (3x) Those who do are called periodic functions. 5. How about the tangent? All the results given by this sine and cosine function calculator are accurate and reliable. Another important element to consider for periodic function is the frequency ($$f$$), which is calculated in terms of the period $$P$$ as: So the frequency is the inverse of the period. One difference is that $$\tan x$$ has discontinuities. Inputs: radius (r) velocitiy (v) Conversions: radius (r) = 0 = 0. meter . Circular Motion Equations Calculator Science - Physics Formulas. Calculate the period of a trigonometric function. The given below is the amplitude period phase shift calculator for trigonometric functions which helps you in the calculations of vertical shift, amplitude, period, and phase shift of sine and cosine functions with ease. Sine Amplitude and Period. Trigonometry: Period and Amplitude. Indeed, its graph looks different than those of the sine and cosine, but tangent is also periodic. The period $$P$$ of a periodic function corresponds to the number that satisfies the following property: for all values of $$x$$. Calculate the period of a trigonometric function. Trigonometric functions are examples of periodic functions. Amplitude Period Phase Shift Calculator for Trigonometric Functions The given below is the amplitude period phase shift calculator for trigonometric functions which helps you in the calculations of vertical shift, amplitude, period, and phase shift of sine and cosine functions with ease. We'll assume you're ok with this, but you can opt-out if you wish. Log InorSign Up. To embed this widget in a post, install the Wolfram|Alpha Widget Shortcode Plugin and copy and paste the shortcode above into the HTML source. Send feedback|Visit Wolfram|Alpha. The tangent function $$\tan x$$ is slightly different because its period is $$\pi$$. In case you have any suggestion, or if you would like to report a broken solver/calculator, please do not hesitate to contact us.