How close is the approximation sin x = x when |x|<10-2? For which of these values of x is x > sinx? How close is the approximation? OA. Error <1.67 x 10-4 OB. Error <3.33 × 10-4 OC. Error <3.33 x 10-7 OD. Error <1.67 x 10-7 For which values of x in the interval - 10-2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 56E
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How close is the approximation sin x = x when |x|<10-2? For which of these values of x is x> sinx?
How close is the approximation?
OA. Error <1.67 × 10-4
OB. Error <3.33 × 10-4
OC. Error <3.33 x 10-7
OD. Error <1.67 x 10-7
For which values of x in the interval - 10-2 <x< 102 is the approximation greater than sin x?
OA. -10-2<x<0
Oc. -10-2<x<10-²
OB. 0<x<10-2
OD. None of these values of x
Transcribed Image Text:How close is the approximation sin x = x when |x|<10-2? For which of these values of x is x> sinx? How close is the approximation? OA. Error <1.67 × 10-4 OB. Error <3.33 × 10-4 OC. Error <3.33 x 10-7 OD. Error <1.67 x 10-7 For which values of x in the interval - 10-2 <x< 102 is the approximation greater than sin x? OA. -10-2<x<0 Oc. -10-2<x<10-² OB. 0<x<10-2 OD. None of these values of x
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