Other Trigonometric Functions
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Other Trigonometric Functions. y = tan x. Passes thru (0,0); increases from left to right; has asymptotes @ 90, 270, …. y = cot x. X-intercepts @ 90, 270; decreases from left to right; has asymptotes @ 0, 180, 360, …. y = csc x.

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Other Trigonometric Functions

y = tan x

Passes thru (0,0); increases from left to right; has asymptotes @ 90, 270, …

y = cot x

X-intercepts @ 90, 270; decreases from left to right; has asymptotes @ 0, 180, 360, …


y = csc x

has asymptotes @ 0, 180, 360, …; vertex of u-shape @ 1 and -1

y = sec x

Crosses the y-axis; has asymptotes @ 90, 270, …; vertex of u-shape @ 1 and -1


y = 7 tan x

y = tan x

By including a number for a, the graph becomes narrower. (If the a value is less than 1, the graph would be wider)


y = 3 csc x

y = csc x

By including a number for a, the graph becomes narrower. (If the a value is less than 1, the graph would be wider). ALSO on sec and csc, the vertex of the graph shifts to ± a. (keep in mind if there is also a vertical shift that will move the graph up/down accordingly)


Examples:

Graph + 3

Graph


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