C . Use the angle sum relationship to show sin 30 = 3 sin 0-4 sin³0. ● B D Suppose AB is the arc of a circle with OA = 1, AC = p. Let BD be perpendicular to OD, and take BD = x. Explain why BD is the solution to p = 3x - 4x³. • Identify the conic sections whose intersection gives x .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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Let ZAOC be an arbitrary angle. The problem of trisecting the angle requires finding point B where
1
ZAOC.
ZBOC =
●
●
O
●
3
A
Use the angle sum relationship to show
sin 303 sin 0 - 4 sin³0.
B
Suppose AB is the arc of a circle with OA = 1, AC = p. Let BD be perpendicular to OD, and
take BD = x. Explain why BD is the solution to p= 3x - 4x³.
Identify the conic sections whose intersection gives x .
• Use your graphing utility of choice to graph these conic sections to trisect the angle. (Your graph
should include (a) the angle to be trisected, (b) the conic sections, and (c) the trisected angle)
D
Transcribed Image Text:Let ZAOC be an arbitrary angle. The problem of trisecting the angle requires finding point B where 1 ZAOC. ZBOC = ● ● O ● 3 A Use the angle sum relationship to show sin 303 sin 0 - 4 sin³0. B Suppose AB is the arc of a circle with OA = 1, AC = p. Let BD be perpendicular to OD, and take BD = x. Explain why BD is the solution to p= 3x - 4x³. Identify the conic sections whose intersection gives x . • Use your graphing utility of choice to graph these conic sections to trisect the angle. (Your graph should include (a) the angle to be trisected, (b) the conic sections, and (c) the trisected angle) D
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