AP EAMCET · Maths · Application of Derivatives
The equation of the normal to the curve \(y=\sin x\) at the point \((0,0)\) is
- A \(x=0\)
- B ) \(y=0\)
- C \(x+y=0\)
- D \(x-y=0\)
Answer & Solution
Correct Answer
(C) \(x+y=0\)
Step-by-step Solution
Detailed explanation
Given curve \(y=\sin x\) \(\therefore\) Slope of normal to the curve at point \((0,0)\) \[ =-\left(\frac{d x}{d y}\right)_{\{0,0\}}=-\left(\frac{1}{\cos x}\right)_{\{0,0\}}=-1 \] \(\therefore\) Equation of normal to the curve at point \((0,0)\) is…
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