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Reika [66]
3 years ago
11

where does the graph of the function y=tan(x) have asymptotes? at the values of x where cos(x)=0 at the values of x where sin(x)

=0 at the values of x where cos(x) is undefined at the values of x where sin(x) is undefined

Mathematics
2 answers:
Gnom [1K]3 years ago
7 0
Answer: at the values where cos(x) = 0

Justification:

1) tan(x) = sin(x) / cos(x).

2) functions have vertical asymptotes at x = a if Limit of the function x approaches a is + or - infinity.

3) the limit of tan(x) approaches +/- infinity where cos(x) approaches 0.

Therefore, the grpah of y = tan(x) has asymptotes where cos(x) = 0.

You can see the asympotes at x = +/- π/2 on the attached graph. Remember that cos(x) approaches 0 when x approaches +/- (n+1) π/2, for any n ∈ N, so there are infinite asymptotes.



PilotLPTM [1.2K]3 years ago
4 0

Answer:

A. at the values of x where cos(x) = 0

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps you! :)

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