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Question

lf the parametric equation of a curve given by x=etcost, y=etsint, then the tangent to the curve at the point t=π4 makes with axis of x the angle.

A
0
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B
π4
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C
π3
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D
π2
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Solution

The correct option is D π2
at t=π/4
y=etsint
dydl=et(sin t+cos t)
dxdl=dt(cos t+sin t)
dydx=sin t+cos tcos tsin t
=α
tan1()=π/2

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