Use a graphing utility to graph the curve represented by the parametric equations, (a) use a graphing utility to find dx/d , dy/d , and dy/dx at the given value of the parameter, (b) find an equation of the tangent line to the curve at the given value of the parameter, and (c) use a graphing utility to graph the curve and the tangent line from part (b).         Parametric Equations x = cot θ, y = sin 2θ Parameter θ = π/6

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 6E
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Use a graphing utility to graph the curve represented by the parametric equations, (a) use a graphing utility to find dx/d , dy/d , and dy/dx at the given value of the parameter, (b) find an equation of the tangent line to the curve at the given value of the parameter, and (c) use a graphing utility to graph the curve and the tangent line from part (b).         Parametric Equations x = cot θ, y = sin 2θ Parameter θ = π/6

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