For the curve defined by and ( )

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For the curve defined by

x=a\cos t

and

y=a\sin t

(

a>0

), prove that the tangent slope can be written in Cartesian form as

\frac{dy}{dx}=-\frac{x}{y}.

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