The length of the subtangent at $t$ on the curve $x = a(t + \sin t)$, $y = a(1 - \cos t)$ is

Question

$2a \sin^3\left(\frac{t}{3}\right) \sec\left(\frac{t}{2}\right)$

$a \sin t$

$2a \sin\left(\frac{t}{2}\right) \tan\left(\frac{t}{2}\right)$

$2a \sin\left(\frac{t}{2}\right)$

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