Show that the curve x = 3 cos(t), y = 4 sin(t) cos(t) has two tangents at (0, 0) and find their equations. (smaller slope) (larger slope) Sketch the curve. У y 2 х х -4 -2 4 -3 -2 -1 -1 y 2 х -4 -2 -2 -1 1 -2 -4

Show that the curve x = 3 cos(t), y = 4 sin(t) cos(t) has two tangents at (0, 0) and find their equations. (smaller slope) (larger slope) Sketch the curve. У y 2 х х -4 -2 4 -3 -2 -1 -1 y 2 х -4 -2 -2 -1 1 -2 -4

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Question

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Show that the curve x = 3 cos(t), y = 4 sin(t) cos(t) has two tangents at (0, 0) and find their equations.
(smaller slope)
(larger slope)
Sketch the curve.
У
y
2
х
х
-4
-2
4
-3
-2
-1
-1
y
2
х
-4
-2
-2
-1
1
-2
-4

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