How to Sketch Trigonometric Graphs?

• If the trigonometric function is of the form\(y=a\:sin\:b\:\theta\), \(y=a\:cos\:b\:\theta\) or \(y=a\:tan\:b\:\theta\) identify the values of a and b and calculate the values of the amplitude and period.
• Create a table of ordered pairs for the points you are plotting. The first value in the ordered pair corresponds to the value of the angle \(θ\), and the values of y correspond to the value of the trigonometric function for the angle \(θ\), for example, \(sin\: θ\), so the ordered pair will be \((θ, sin\: θ)\). The values of \(θ\) can be either in degrees or radians.

Sketching Trigonometric Graphs – Example 1:

Exercises for Sketching Trigonometric Graphs

Graph each trigonometric function.

• \(\color{blue}{y=\frac{1}{2}\:cos\:2\:\theta}\)

• \(\color{blue}{y=\:3\:cot\:\theta}\)

• \(\color{blue}{y=\frac{1}{2}\:cos\:2\:\theta}\)

• \(\color{blue}{y=\:3\:cot\:\theta}\)

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