Trigonometric Graphs Inverness College September 29, 2010 Inverness College Trigonometric Graphs Simple Trigonometric Functions We begin with the standard trigonometric functions sin(x), cos(x) and tan(x). We will then move onto more complex versions of these functions. You will need to be able to recognise these functions and sketch their graphs. Inverness College Trigonometric Graphs
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Trigonometric Graphs
Inverness College
September 29, 2010
Inverness College Trigonometric Graphs
Simple Trigonometric Functions
� We begin with the standard trigonometric functions sin(x),cos(x) and tan(x).
� We will then move onto more complex versions of thesefunctions.
� You will need to be able to recognise these functions andsketch their graphs.
Inverness College Trigonometric Graphs
sin(x)
Inverness College Trigonometric Graphs
cos(x)
Inverness College Trigonometric Graphs
tan(x)
Inverness College Trigonometric Graphs
How do we plot them?
� We use the critical points – zeros, maximums and minimums.
� sin(x) and cos(x) have maximums of 1 and minimums of -1.
� The period of sin(x) and cos(x) is 2π(360o) but the periodof tan(x) is only π(180o).
� Next we need to know where everything occurs.
Function Zeros Maximum Minimumsin(x) 0, π(180o), 2π(360o) π