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onsider the triangle below b Define a system of three linear equations in tems of cos A , cos B and cos C (Hint: Draw the altitude from Ĉ to c, and write an equation for c in terms of cos A and cos B. Do the same for the other two sides) (Note: cos A , cos B and cos C are the variables in the equation). Write the above system of equations as a matrix equation. Hence, solve cos C by using Cramer's rule.

onsider the triangle below b Define a system of three linear equations in tems of cos A , cos B and cos C (Hint: Draw the altitude from Ĉ to c, and write an equation for c in terms of cos A and cos B. Do the same for the other two sides) (Note: cos A , cos B and cos C are the variables in the equation). Write the above system of equations as a matrix equation. Hence, solve cos C by using Cramer's rule.

Advanced Engineering Mathematics
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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3.6 Consider the triangle below C a b A 3.6.1 Define a system of three linear equations in terms of cos A , cos B and cos C (Hint: Draw the altitude from Ĉ to c, and write an equation for c in terms of cos A and cos B. Do the same for the other two sides) (Note: cos A , cos B and cos C are the variables in the equation). 3.6.2 Write the above system of equations as a matrix equation. 3.6.3 Hence, solve cos C by using Cramer's rule. 3.6.4 Use the result in c) to verify the cosine rule.
Transcribed Image Text:3.6 Consider the triangle below C a b A 3.6.1 Define a system of three linear equations in terms of cos A , cos B and cos C (Hint: Draw the altitude from Ĉ to c, and write an equation for c in terms of cos A and cos B. Do the same for the other two sides) (Note: cos A , cos B and cos C are the variables in the equation). 3.6.2 Write the above system of equations as a matrix equation. 3.6.3 Hence, solve cos C by using Cramer's rule. 3.6.4 Use the result in c) to verify the cosine rule.
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