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 […]
Evaluating Variables and Expressions
To evaluate an expression with variables, substitute the given value for each variable and then follow the order of operations. Substituting first and simplifying second is what keeps the work reliable. The examples below show the method, with practice problems and answers. In this lesson Evaluating Variables and Expressions: what to notice and how to […]
