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6.07 Graphing reciprocal trigonometric functions

Adaptive
Worksheet

Interactive practice questions

Consider the graph of $y=\tan x$y=tanx below.

At which point will the corresponding graph of $y=\cot x$y=cotx be undefined?

Loading Graph...

$A$A

A

$B$B

B

$C$C

C

$D$D

D

$E$E

E
Medium
1min

Consider the identity $\sec x=\frac{1}{\cos x}$secx=1cosx and the table of values below.

Medium
4min

Consider the identity $\operatorname{cosec}x=\frac{1}{\sin x}$cosecx=1sinx and the table of values below.

Medium
3min

Consider the identity $\cot x=\frac{\cos x}{\sin x}$cotx=cosxsinx and the table of values below.

Medium
5min
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Outcomes

F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.C.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.C.7.E

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

F.BF.B.4

Find inverse functions.

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