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- To solve periodic functions, follow these steps:
- Identify the function as periodic.
- Find the period of the function. For example, if the function is (f(x) = 9 \sin(6x + 5)), the period is (\frac{\pi}{3})1.
- Use trigonometric identities and properties to simplify the function. For example, if given (f(a) = 6 \cos(5a)), find the period using the formula1.
- Apply any relevant rules or transformations. For instance, if you have (y = 4 \sin(\frac{a}{2})), consider the effect of the (\frac{1}{2}) factor on the period12.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Periodic Functions Examples
- Solution: Given periodic function is f (x) = 9 sin (6x+ 5) Coefficient of x = B = 6 Period = 2π/ |B|, here period of the periodic function = 2π/ 6 = π/3 Example 2: ...
byjus.com/maths/period-of-a-function/Examples on Periodic Function
- Example 1: Find the period of the periodic function Sin (4x + 5). Solution: The given function is Sin (4x + 5) The period of Sinx is 2π., and the period of Sin (4x + 5) is 2π/4 = π/2. ...
www.cuemath.com/algebra/periodic-function/ - People also ask
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