O Figure 1 Figure 1 shows a plot of part of the curve with equation y = cos x where x is measured in radians. Diagram 1, on the opposite page, is a copy of Figure 1. (a) Use Diagram 1 to show why the equation cos x - 2x - 1/2 = 0 has only one real root, giving a reason for your answer. Given that the root of the equation is a, and that a is small, (b) use the small angle approximation for cosx to estimate the value of a to 3 decimal places. (2)
O Figure 1 Figure 1 shows a plot of part of the curve with equation y = cos x where x is measured in radians. Diagram 1, on the opposite page, is a copy of Figure 1. (a) Use Diagram 1 to show why the equation cos x - 2x - 1/2 = 0 has only one real root, giving a reason for your answer. Given that the root of the equation is a, and that a is small, (b) use the small angle approximation for cosx to estimate the value of a to 3 decimal places. (2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Needed to be solved both a and B parts in 10 minutes and get the thumbs up please show me neat and clean work for it
Only by hand solution needed
Transcribed Image Text:2.
O
Figure 1
Figure 1 shows a plot of part of the curve with equation y = cos x where x is measured in radians.
Diagram 1, on the opposite page, is a copy of Figure 1.
(a) Use Diagram 1 to show why the equation
-1=0
has only one real root, giving a reason for your answer.
cosx-2x
Given that the root of the equation is a, and that a is small,
(b) use the small angle approximation for cosx to estimate the value of a to 3 decimal places.
(2)
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