Difference between revisions of "009C Sample Final 3, Problem 7"
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<span class="exam">A curve is given in polar coordinates by | <span class="exam">A curve is given in polar coordinates by | ||
| − | ::<math>r=1+\cos^2(2\theta)</math> | + | ::<math>r=1+\cos^2(2\theta).</math> |
<span class="exam">(a) Show that the point with Cartesian coordinates <math style="vertical-align: -15px">(x,y)=\bigg(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\bigg)</math> belongs to the curve. | <span class="exam">(a) Show that the point with Cartesian coordinates <math style="vertical-align: -15px">(x,y)=\bigg(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\bigg)</math> belongs to the curve. | ||
Latest revision as of 16:25, 3 December 2017
A curve is given in polar coordinates by
(a) Show that the point with Cartesian coordinates belongs to the curve.
(b) Sketch the curve.
(c) In Cartesian coordinates, find the equation of the tangent line at
