MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
6th Edition
ISBN: 9781119385134
Author: Amos Gilat
Publisher: WILEY
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Chapter 1, Problem 18P

18. In the triangle shown a =27 in., b 43 in., c=57 in. Define a, b, and c as variables, and then:

(a) Calculate the angles α , β ,and γ by substituting the variables in the law of cosines.

 (Law of cosines: c 2 = a 2 + b 2 2 a b c o s γ )

(b)Verify the law of tangents by substituting the results into the right and left sides of:

law of tangents: b c b + c = tan 1 2 ( β γ ) tan 1 2 ( β + γ )

Chapter 1, Problem 18P, 18. In the triangle shown a =27 in., b 43 in., c=57 in. Define a, b, and c as variables, and then:

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Chapter 1 Solutions

MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications

Ch. 1 - Two trigonometric identities are given by: (a)...Ch. 1 - Define two variables: alpha =8, and beta = 6....Ch. 1 - Given: x2cosxdx=2xcosx+x22sinx . Use MATLAB to...Ch. 1 - A rectangular box has the dimensions shown. (a)...Ch. 1 - The are length of a segment of a parabola ABC is...Ch. 1 - The three shown circles, with radius 15 in., 10.5...Ch. 1 - A frustum of cone is filled with ice cream such...Ch. 1 - 18. In the triangle shown a =27 in., b 43 in.,...Ch. 1 - For the triangle shown, a = 72°, ß=43°, and its...Ch. 1 - The distance d from a point P (xp,yp,zp) to the...Ch. 1 - The perimeter of an ellipse can be approximated...Ch. 1 - A total of 4217 eggs have w be packed in boxes...Ch. 1 - A total of 777 people have to be transported using...Ch. 1 - Change the display to format long g. Assign the...Ch. 1 - The voltage difference Vabbetween points a and b...Ch. 1 - The current in a series RCL circuit is given by:...Ch. 1 - The monthly payment M of a mortgage P for n years...Ch. 1 - The number of permutations nProf taking r Objects...Ch. 1 - The number of combinations Cn,r of taking r...Ch. 1 - The equivalent resistance of two resistors R1and...Ch. 1 - The output voltage Voutin the circuit shown is...Ch. 1 - Radioactive decay of carbon-14 is used for...Ch. 1 - The greatest common divisor is the largest...Ch. 1 - The amount of energy E (in joules) that is...Ch. 1 - According to the Doppler effect of light, the...Ch. 1 - Newton’s law of cooling gives the temperature T(t)...Ch. 1 - The velocity v and the falling distance d as a...Ch. 1 - Use the Help Window to find a display format that...Ch. 1 - Gosper’s approximation for factorials is given by:...Ch. 1 - According to Newton’s law of universal...
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