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How to Find the Period of a Function: Rules and Examples

How to Find the Period of a Function: Rules and Examples

The period of a function is a positive horizontal shift that makes its values repeat. For a nonconstant sine or cosine rule \(y=A\sin(Bx+C)+D\) or \(y=A\cos(Bx+C)+D\), the fundamental period is \(2\pi/|B|\). For tangent and cotangent, use \(\pi/|B|\). These formulas assume radians and nonzero \(A\) and \(B\). On this page: Definition · Period formulas · Worked examples […]