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Mathematics
Mathematics
Problem
The motion of a point in the plane is described by
x
=
sin
t
x=\sin t
x
=
sin
t
and
y
=
t
2
+
t
y=t^{2}+t
y
=
t
2
+
t
for
0
<
t
<
π
0<t<\pi
0
<
t
<
π
. Determine the equation of the tangent line to the curve at
t
=
π
6
t=\dfrac{\pi}{6}
t
=
6
π
.
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