Mathematics

Problem

The angle made by the tangent of the curve

x = a(t + \sin t \cos t)

y = a(1 + \sin t)^2

with the

x

-axis at any point on it is (a)

\frac{1}{4}(\pi + 2t)

(b)

\frac{1 - \sin t}{\cos t}

(c)

\frac{1}{4}(2t - \pi)

(d)

\frac{1 + \sin t}{\cos 2t}