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Question: Answered & Verified by Expert
If x=5(1-sint), y=5(t+cost), then dxdy=
MathematicsDifferentiationTS EAMCETTS EAMCET 2021 (04 Aug Shift 1)
Options:
  • A sint-1cost
  • B costsint-1
  • C tant2
  • D cost/2-sint/2cost/2+sint/2
Solution:
1002 Upvotes Verified Answer
The correct answer is: costsint-1

Given x=5(1-sint) and y=5(t+cost)

Therefore, 

dxdt=5(-cost)    ...(i) and dydt=5(1-sint)   ...(ii)

Dividing equation (i) by (ii)

dxdtdydt=5-cost51-sint

dxdy=costsint-1

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