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The normal line to a curve in the plane at a point p is the straight line passing through p perpendicular to the tangent line at p. Find the tangent and normal lines to the curve r(t) = (2 cos t – cos 2t, 2 sin t – sin 2t) at t = 7/4.

The normal line to a curve in the plane at a point p is the straight line passing through p perpendicular to the tangent line at p. Find the tangent and normal lines to the curve r(t) = (2 cos t – cos 2t, 2 sin t – sin 2t) at t = 7/4.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. The normal line to a curve in the plane at a point p is the straight line passing through p perpendicular to the tangent line at p. Find the tangent and normal lines to the curve r(t) = (2 cost – - cos 2t, 2 sin t – sin 2t) at t = T/4.
Transcribed Image Text:5. The normal line to a curve in the plane at a point p is the straight line passing through p perpendicular to the tangent line at p. Find the tangent and normal lines to the curve r(t) = (2 cost – - cos 2t, 2 sin t – sin 2t) at t = T/4.
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here we can simply use the equation to find slope of normal and tangent and then find the equations.

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