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Question

Mathematics Question on Tangents and Normals

The tangent to the curve x=cost(32cos2t),y=sint(32sin2t)x=cost(3-2cos^2t),y=sint(3-2sin^2t) at t=π4t=\frac{\pi}{4},makes with the xaxisx-axis an angle:

A

0

B

π4\frac{\pi}{4}

C

π6\frac{\pi}{6}

D

π3\frac{\pi}{3}

Answer

π4\frac{\pi}{4}

Explanation

Solution

The correct option is (B): π4\frac{\pi}{4}