Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on or above the line y-1-² 2x Hence, from this assumption and by considering areas, provide an argument to show that π/4 < = Note that alternative arguments will not receive Your response should be written in sentences and logically justified 1/2 cos x dx s (4+ π)² 32 √2 X and on or beneath the line y=-- + √2 4+π

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question
Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on or above the line y-1-²
2x
Hence, from this assumption and by considering areas, provide an argument to show that π/4 <
=
Note that alternative arguments will not receive
Your response should be written in sentences and logically justified
1/2
cos x dx s
(4+ π)²
32 √2
X
4+π
-√₂ + 4√√₂-
and on or beneath the line y=--
Transcribed Image Text:Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on or above the line y-1-² 2x Hence, from this assumption and by considering areas, provide an argument to show that π/4 < = Note that alternative arguments will not receive Your response should be written in sentences and logically justified 1/2 cos x dx s (4+ π)² 32 √2 X 4+π -√₂ + 4√√₂- and on or beneath the line y=--
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