Algebra/Trig Review - Pauls Online Math Notes - Lamar University

Algebra/Trig ReviewFrom this graph we can see that sine has the same range that cosine does. In general−R≤ R ω x ≤ Rsin ( )As with cosine, sine itself will never be larger than 1 and never smaller than -1.⎛ x ⎞5. y = sin ⎜ ⎟⎝ 3 ⎠SolutionSo, in this case we don’t have just an x inside the parenthesis. Just as in the case ofsin ω x by usingcosine we can get the period of ( )2π2πPeriod = = = 6πω 1 3In this case the curve will repeat every 6π . So, for this graph I’ll change the range to−6π≤ x ≤ 6πso we can get at least two traces of the curve showing. Here is thegraph.6. y = tan ( x)Solution© 2006 Paul Dawkins 56http://tutorial.math.lamar.edu/terms.aspx