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TS EAMCET · Maths · Differentiation

If x=5(1-sint), y=5(t+cost), then dxdy=

  1. A sint-1cost
  2. B costsint-1
  3. C tant2
  4. D cost/2-sint/2cost/2+sint/2
Verified Solution

Answer & Solution

Correct Answer

(B) costsint-1

Step-by-step Solution

Detailed explanation

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