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Question

Rate of change of sin x with respect to cos x at x=π2 will be equal to 
  1. \N
  2. 1
  3. -1


Solution

The correct option is A \N
Rate of change of sinx with respect to cos x is the derivative of sin x with respect to cos x i.e. d(sin x)d(cos x)         
d(sin x)d(cos x)=ddx(sinx)ddx(cosx)=cosxsinx=cot x                                                                                                                             
At x=π2,cotx=0, which is the correct answer.

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