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  • x = a (1 –  sint), y = a(1 –  tan t) , then <img alt="

x = a (1 –  sint), y = a(1 –  tan t) , then \frac{d y}{d x} \text { is }

Option: 1

sec2t


Option: 2

sec3t


Option: 3

cos2t


Option: 4

cos3t


Answers (1)

best_answer

x = a (1 − sin t) ⇒\frac{d x}{d t}=a(0-\cos t)=-a \cos t

\frac{d y}{d t}=\frac{-a \sec ^2 t}{-a \cos t}=\sec ^3 t

Hence (B) is correct answer.

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