When you graph trigonometric functions, you discover they are periodic; that is, they produce results that repeat predictably. To find the period of a given function, you need some familiarity with each one and how variations in their use affect the period.
Let's start with the basic sine function, f (t) = sin(t). This function has an amplitude of 1 because the graph goes one unit up and one unit down from the midline of the graph. This function has a period of 2π because the sine wave repeats every 2π units.
Read this lesson to learn how you can find the period of any trig function you are given. You'll see how the period changes when dealing with cosine and sine functions versus tangent and cotangent ...
Trigonometry Examples. Step-by-Step Examples. Trigonometry. Graphing Trigonometric Functions. Find Amplitude, Period, and Phase Shift. Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude . Amplitude: Find the period using the formula. Tap for more steps... The period of the ...
Introduction: In this lesson, the period and frequency of basic graphs of sine and cosine will be discussed and illustrated. The Lesson: y = sin(x) and y = cos(x) are periodic functions because all possible y values repeat in the same sequence over a given set of x values. The “length” of this interval of x values is called the period.
We're asked to determine the amplitude and the period of y equals negative 1/2 cosine of 3x. So the first thing we have to ask ourselves is, what does amplitude even refer to? Well the amplitude of a periodic function is just half the difference between the minimum and maximum values it takes on. So ...
Given the formula of a sinusoidal function, determine its period. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
i get the amplitude, but dont know how to get the period. i understand its"like "wavelength" it's a measure of how the function repeats." but i cant tell how much a function repeats. for example: What is the period of this function? y=-5cos(1/2)x i kno the answer is 4pi, but i dont understand why. please help!
Amplitude, Period, Phase Shift and Frequency . Some functions (like Sine and Cosine) repeat forever and are called Periodic Functions.. The Period goes from one peak to the next (or from any point to the next matching point):. The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.
Free function periodicity calculator - find periodicity of periodic functions step-by-step