Question

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

Answer 1

Answer:

x - y = 0

Step-by-step explanation:

Given---> y = Sinx

To find---> Equation of tangent at point ( 0 , 0 ).

Solution---> y = Sinx

Differentiating with respect to x , we get,

dy / dx = d / dx ( Sinx )

= Cosx

Slope at tagent at ( 0 , 0 ) = Cos0

= 1

Equation of tangent at ( x₁ , y₁ )

( y - y₁ ) = ( dy / dx ) at ( x₁ , y₁ ) ( x - x₁ )

Equation of tangent at ( 0 , 0 )

=> ( y - 0 ) = 1 ( x - 0 )

=> y = 1 ( x )

=> y = x

=> x - y = 0