If x = a(cos t + t sin t), y = a(sin t − t cos t), then dy/dx is:
If x = a(cos t + t sin t), y = a(sin t − t cos t), then dy/dx is:
- A. tan t
- B. cot t
- C. −tan t
- D. −cot t
Answer: A) tan t
Explanation: dx/dt = a(−sin t + sin t + t cos t) = a t cos t; dy/dt = a(cos t − cos t + t sin t) = a t sin t. Thus dy/dx = (a t sin t)/(a t cos t) = tan t.
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