Differentiation Question 405

Question: If $ x=a(t-\sin t) $ and $ y=a(1-\cos t), $ then $ \frac{dy}{dx}= $

[AISSE 1984; Roorkee 1974; SCRA 1996; Karnataka CET 2003]

Options:

A) $ \tan ( \frac{t}{2} ) $

B) $ -\tan ( \frac{t}{2} ) $

C) $ \cot ( \frac{t}{2} ) $

D) $ -\cot ( \frac{t}{2} ) $

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Answer:

Correct Answer: C

Solution:

$ \frac{dy}{dx}=\frac{dy/dt}{dx/dt} $ .