Question

The slope of the tangent to the curve $y=\sin x$ at point $(0,0)$ is

• A. $1$
• B. $0$
• C. $\infty$
• D. None of these

Answer 1

The correct option is A $1$

Given $y=\sin x$
$\Rightarrow \frac{dy}{dx}=\cos x$
Thus, slope of tangent at $(0,0)$ is,
$m={\left(\frac{dy}{dx}\right)}_{\left(0.0\right)}=\cos \left(0\right)=1$
Hence, option 'A' is correct.