Solution:
Given
![\[x\text{ }=\text{ }\theta \text{ }+\text{ }sin\text{ }\theta ,\text{ }y\text{ }=\text{ }1\text{ }+\text{ }cos\text{ }\theta \text{ }at\text{ }\theta \text{ }=\text{ }\pi /2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-57db6ad4a093261403752cc0f68205de_l3.png "Rendered by QuickLaTeX.com")
By differentiating the given equation with respect to θ, we get the slope of the tangent
(ii)
Find the equation of the tangent and the normal to the following curves at the indicated points: (i) x = θ + sin θ, y = 1 + cos θ at θ = π/2
Find the equation of the tangent and the normal to the following curves at the indicated points: (i) x = θ + sin θ, y = 1 + cos θ at θ = π/2