Question:medium

If $x=Sin^{-1}(cos~t)$ and $y=Tan^{-1}(cos~t)$ then $\frac{dy}{dx}=$}

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Parametric differentiation avoids inverse-trig complexity.
Updated On: Jun 22, 2026
  • $\frac{cos~x}{1+sin^{2}x}$
  • $\frac{cos~t}{1+sin^{2}t}$
  • $\frac{sin~t}{sin~t}$
  • $\frac{sin~x}{1+cos^{2}x}$ \bigskip
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The Correct Option is D

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