(a).

The equations are x = t + cos(t) and y = t - sin(t).

Substitute t = 0 in the original equations.

x = 0 + cos(0) = 1

y =  0 - sin(0) = 0

The point (x, y) = (1, 0).

Substitute t = 2pi in the original equations.

x = 2pi + cos(2pi) = 2pi + 1

y =  2pi - sin(2pi) = 2pi

The point (x, y) = (2pi + 1, 2pi).

(c).

The equations are x = t + cos(t) and y = t - sin(t) and interval [0, 2pi].

Calculate the length of curve by using formula :