Find the equation of the tangent and the normal to the following curves at the indicated points:
at (a sec θ, b tan θ)

Question

Find the equation of the tangent and the normal to the following curves at the indicated points: at (a sec θ, b tan θ)

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

normal is perpendicular to tangent so, m₁m₂ = – 1

equation of tangent is given by y – y₁ = m(tangent)(x – x₁)

equation of normal is given by y – y₁ = m(normal)(x – x₁)