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23. A semicircle with radius 1 is partitioned into two adjacent sectors as shown below. a (a) Find formulas for the areas of the two sectors in terms of 0. (b) If f(0) is the product of these two areas, find the exact value of that maximizes f(0).

23. A semicircle with radius 1 is partitioned into two adjacent sectors as shown below. a (a) Find formulas for the areas of the two sectors in terms of 0. (b) If f(0) is the product of these two areas, find the exact value of that maximizes f(0).

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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23. A semicircle with radius 1 is partitioned into two adjacent sectors as shown below. a Ө (a) Find formulas for the areas of the two sectors in terms of 0. (b) If f(0) is the product of these two areas, find the exact value of that maximizes ƒ(0).
Transcribed Image Text:23. A semicircle with radius 1 is partitioned into two adjacent sectors as shown below. a Ө (a) Find formulas for the areas of the two sectors in terms of 0. (b) If f(0) is the product of these two areas, find the exact value of that maximizes ƒ(0).
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