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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- Hence, from this assumption and by considering areas, provide an argument to show that π/4 ≤ cos x dx s π/2 (4+ π)² 32 √2 Note that alternative arguments will not receive -2x and on or beneath the line y=-- Your response should be written in sentences and logically justified 4+π 2+1/2

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- Hence, from this assumption and by considering areas, provide an argument to show that π/4 ≤ cos x dx s π/2 (4+ π)² 32 √2 Note that alternative arguments will not receive -2x and on or beneath the line y=-- Your response should be written in sentences and logically justified 4+π 2+1/2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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2 x Consider the curve C: y=cos x. You may assume that for all values of x = [0,π/2] the curve C lies on or above the line y=1 π Hence, from this assumption and by considering areas, provide an argument to show that π/4 ≤ 1/2 co Note that alternative arguments will not receive Your response should be written in sentences and logically justified cos x dx s (4+z)² 32 √2 and on or beneath the line y= + 4+π 4√√√2
Transcribed Image Text:2 x Consider the curve C: y=cos x. You may assume that for all values of x = [0,π/2] the curve C lies on or above the line y=1 π Hence, from this assumption and by considering areas, provide an argument to show that π/4 ≤ 1/2 co Note that alternative arguments will not receive Your response should be written in sentences and logically justified cos x dx s (4+z)² 32 √2 and on or beneath the line y= + 4+π 4√√√2
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