Question

Write the equation of the tangent drawn to the curve $y=\sin x$ at the point (0,0).

Answer 1

We have,

$y=\sin x$

$\Rightarrow \frac{dy}{dx}=\cos x$

Slope at (0, 0) = m = ${\left[\frac{dy}{dx}\right]}_{x=0}=\cos 0=1$

So, the equation of the tangent at (0,0) is given by,

y = mx

Putting m = 1, we get

The equation of the tangent is y = x.