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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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Question

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

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Solution

We have,

\[y = \sin x\]

\[\Rightarrow \frac{dy}{dx} = \cos x\]
Slope at (0, 0) = m = \[\left[ \frac{dy}{dx} \right]_{x = 0} = \cos0 = 1\]
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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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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