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.
- \(\color{blue}{y=\frac{1}{2}\:cos\:2\:\theta}\)
- \(\color{blue}{y=\:3\:cot\:\theta}\)
- \(\color{blue}{y=\frac{1}{2}\:cos\:2\:\theta}\)
- \(\color{blue}{y=\:3\:cot\:\theta}\)
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
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