Period of Sine and Cosine Functions
The sine function y = sin x and the cosine function y = cos x are periodic functions, and their smallest positive period is 2π. Applicable Condition: Domain is…
Syllabus path: Functions › Concepts and Properties of Functions › Periodicity of Functions
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CSCA Mathematics Formula Reference
Formula and explanation
The sine function y = sin x and the cosine function y = cos x are periodic functions, and their smallest positive period is 2π. Applicable Condition: Domain is all real numbers R. Note: For the general form y = A sin(ω x + ) or y = A cos(ω x + ), the smallest positive period is T = (2π)/(|ω|).
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Periodicity of Functions
Periodicity of Functions 1. Concept Periodicity describes the repeating pattern of a function. Definition: Let the domain of f(x) be D. If there exists a non - zero constant T such that for any x ∈ D: 1. x + T ∈ D 2. f(x + T) = f(x) holds true Then f(x) is a Periodic Function, an…
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