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Consider the curve c(t) = (t – 2sin(t), 1 – 2cos(t)). (a) Find an equation for...

Consider the curve c(t) = (t – 2sin(t), 1 – 2cos(t)).
(a) Find an equation for the tangent line to the curve at t=π/6
(b) For 0 ≤ t ≤ 2π, find the interval(s) of t-values that make dx/dt < 0.
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