Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of the function, f(x) = sinx-1/2 on the interval [0.5, 0.6]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of the function,
f(x) = = sin x - 1/2 on the interval [0.5, 0.6]
(Fill in the table below as in Figure 1.29 of the textbook.)
Iteration 1.
Iteration 2.
Iteration 3.
Interval =
Interval=
Interval. =
Iteration 4.
Interval=
Iteration 5. Interval=
Midpiont Sign: f(
Midpiont Sign: f(
Midpiont Sign: f(
Midpiont Sign: f
is ?
is ?
is ?
is ?
>
V
V
Accurate to two decimal places, the root is (give answer to two decimal places only).
Transcribed Image Text:Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of the function, f(x) = = sin x - 1/2 on the interval [0.5, 0.6] (Fill in the table below as in Figure 1.29 of the textbook.) Iteration 1. Iteration 2. Iteration 3. Interval = Interval= Interval. = Iteration 4. Interval= Iteration 5. Interval= Midpiont Sign: f( Midpiont Sign: f( Midpiont Sign: f( Midpiont Sign: f is ? is ? is ? is ? > V V Accurate to two decimal places, the root is (give answer to two decimal places only).
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