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kuadirkennedy
09.08.2019 •
Mathematics
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2?
x = pi over 4, x = 3 pi over 4
x = 0, x = pi over 4
x = pi over 2, x = 3 pi over 2
x = 3 pi over 8, x = 5 pi over 8
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Ответ:
Thus the asymptotes are π/8 and 3π/8
Step-by-step explanation:
An asymptote is a line that a graph approaches without touching. The asymptotes are where the graph is undefined.
tan(x)= sin(x)/cos(x), where cos(4x-π) = 0
cos(4x-π) = 0 when inside is - π/2 , π/2 , 3π/2
4x-π = π/2
Add π at both sides:
4x-π+π = π/2 +π
4x= π+2π/2
4x= 3π/2
x= 3π/8
4x-π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This one is outside the interval.
4x-π = -π/2
4x = -π/2 +π
4x = -π+2π/2
4x=π/2
x = π/8
Thus the asymptotes are π/8 and 3π/8
Ответ:
ok
Step-by-step explanation: