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Mathematics
Mathematics
Problem
For the curve
x
=
t
−
sin
t
x = t - \sin t
x
=
t
−
sin
t
and
y
=
1
−
cos
t
y = 1 - \cos t
y
=
1
−
cos
t
(
0
<
t
<
π
0 < t < \pi
0
<
t
<
π
),
sin
t
=
1
2
\sin t = \dfrac12
sin
t
=
2
1
at two points on the curve. Evaluate the slope of the tangent at each of these points.
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