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Mathematics
Mathematics
Problem
The curve
y
=
csc
x
y=\csc x
y
=
csc
x
is considered at the point where
x
=
π
6
x=\tfrac{\pi}{6}
x
=
6
π
. Which of the following is the equation of the tangent line at that point? a)
y
−
2
=
−
4
(
x
−
π
6
)
y-2=-4\,(x-\tfrac{\pi}{6})
y
−
2
=
−
4
(
x
−
6
π
)
b)
y
−
2
=
−
2
3
(
x
−
π
6
)
y-2=-2\sqrt{3}\,(x-\tfrac{\pi}{6})
y
−
2
=
−
2
3
(
x
−
6
π
)
c)
y
−
2
=
2
3
(
x
−
π
6
)
y-2=2\sqrt{3}\,(x-\tfrac{\pi}{6})
y
−
2
=
2
3
(
x
−
6
π
)
d)
y
−
2
=
−
3
(
x
−
π
6
)
y-2=-\sqrt{3}\,(x-\tfrac{\pi}{6})
y
−
2
=
−
3
(
x
−
6
π
)
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