The motion of a point is given by

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The motion of a point is given by

x=\sin t,\; y=\cos t

. Calculate

\dfrac{dy}{dx}

at

t=\dfrac{\pi}{6}

and state whether the tangent at that point is rising or falling as

x

increases.

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