IGNOU BPHCT 131 2026 - A curve is described by the following parametric equationsDetermin

Question

A curve is described by the following parametric equations
$x = 2 \cos t, y = 2 \sin t, z = \cos(3t)$
Determine the unit tangent vector to the curve at the point $t = \frac{\pi}{2}$ .

19 Jan 2026

Answer :

Word Count : 110

The position vector of the curve is r(t) = ⟨2 cos t, 2 sin t, cos(3t)⟩. The tangent vector to the curve is obtained

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