Write the Equation of the Tangent Drawn to the Curve Y = Sin X at the Point (0,0) ? - Mathematics

Question

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

Solution

We have,

$y = \sin x$

\Rightarrow \frac{d y}{d x} = \cos x

Slope at (0, 0) = m =

{[\frac{d y}{d x}]}_{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 .

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Tangents and Normals

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Q 18 Q 17 Q 1

Chapter 16: Tangents and Normals - Exercise 16.4 [Page 42]

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RD Sharma Mathematics [English] Class 12

Chapter 16 Tangents and Normals
Exercise 16.4 | Q 18 | Page 42

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Write the Equation of the Tangent Drawn to the Curve Y = Sin X at the Point (0,0) ? - Mathematics

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