Question

The equation of the normal to the curve $y=\sin x$ at $(0,0)$ is

• A. $x=0$
• B. $y=0$
• C. $x+y=0$
• D. $x-y=0$

Answer 1

The correct option is C $x+y=0$

$y=sinx$

$\frac{dy}{dx}=cosx$

$(\frac{dy}{dx}{)}_{at(0,0)}=cos0=1$

Equation of normal at $\left(is\right)$ is

$y-0=-\frac{1}{\left(\frac{dy}{dx}\right)}(x-0)$

$y=-1\left(x\right)$

$x+y=0$