12. What are the x and y coordinates of the focus of the conic section described by the following equation? (Angle e corresponds to a right triangle with adjacent side x, opposite side y and the hypotenuse r.) r sin2 8= cos 8 a. (1/4, 0) b. (0, π/2) c. (0, 0) d. (-1/2, 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 65E
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INSTRUCTIONS:
• Please write clearly and understandable way.
• Write all the corresponding Given before solving.
• Draw/Illustrate the diagram/circuit or drawings that is related to
the problem, IF POSSIBLE, which is HIGHLY REQUIRED.
• Solve in step-by-step, no shortcut, with formulas before
solutions together with the units
• Underline twice the Final Answer.
PROBLEM:
12. What are the x and y coordinates of the focus of the conic
section described by the following equation? (Angle e
corresponds to a right triangle with adjacent side x, opposite side
y and the hypotenuse r.) r sin2 8= cos 8
a. (1/4, 0)
b. (0, TT/2)
c. (0, 0)
d. (-1/2, 0)
13. The right-angled triangle shown has a base which is 4 times
its height. Four such tnangles are placed so that their
hypotenuses form the boundary of a large square as shown. What
is the side length of the shaded square in the diagram?
a. 2x
b. 2sqrt(2x) c. 3x
d. 2√3x
Transcribed Image Text:INSTRUCTIONS: • Please write clearly and understandable way. • Write all the corresponding Given before solving. • Draw/Illustrate the diagram/circuit or drawings that is related to the problem, IF POSSIBLE, which is HIGHLY REQUIRED. • Solve in step-by-step, no shortcut, with formulas before solutions together with the units • Underline twice the Final Answer. PROBLEM: 12. What are the x and y coordinates of the focus of the conic section described by the following equation? (Angle e corresponds to a right triangle with adjacent side x, opposite side y and the hypotenuse r.) r sin2 8= cos 8 a. (1/4, 0) b. (0, TT/2) c. (0, 0) d. (-1/2, 0) 13. The right-angled triangle shown has a base which is 4 times its height. Four such tnangles are placed so that their hypotenuses form the boundary of a large square as shown. What is the side length of the shaded square in the diagram? a. 2x b. 2sqrt(2x) c. 3x d. 2√3x
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