Q. 5 A5.0( 1 Vote )

# Find the equation of the tangent and the normal to the following curves at the indicated points:

x = θ + sin θ, y = 1 + cos θ at θ = π/2.

Answer :

finding slope of the tangent by differentiating x and y with respect to theta

Dividing both the above equations

m(tangent) at theta ( ) = – 1

normal is perpendicular to tangent so, m_{1}m_{2} = – 1

m(normal) at theta ( ) = 1

equation of tangent is given by y – y_{1} = m(tangent)(x – x_{1})

equation of normal is given by y – y_{1} = m(normal)(x – x_{1})

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