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AP EAMCET · Maths · Differentiation

If \(y=\cos \left(x^{\circ}\right), z=\cos x\), then \(\frac{d y}{d x}\) is equal to

  1. A \(\frac{-\pi}{180} \sin \left(x^{\circ}\right) \operatorname{cosec} x\)
  2. B \(\sin \left(x^{\circ}\right) \operatorname{cosec} x\)
  3. C \(\frac{\pi}{180} \sin \left(x^{\circ}\right) \operatorname{cosec} x\)
  4. D \(\frac{\pi}{180} \cos \left(x^{\circ}\right) \cos x\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\pi}{180} \sin \left(x^{\circ}\right) \operatorname{cosec} x\)

Step-by-step Solution

Detailed explanation

We have,…