Explanation Given information: Let L 1 and L 2 be the lines of slope m 1 and m 2 . Formula used: C o t θ = 1 tan θ Calculation: Let line L 1 and line L 2 makes angle θ 1 and θ 2 with x-axis. Therefore slope of line L 1 Is m 1 = tan θ 1 And slope of line L 2 Is m 2 = tan θ 2 And the angle θ between L 1 and L 2 is equal to θ 2 − θ 1

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 1.4, Problem 66E

To determine

Show that the angle $θ$ between $L1 and L2$ satisfies

$cotθ=m2m1+1m2−m1$

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Chapter 1.4, Problem 65E

Chapter 1.4, Problem 67E

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Chapter 1 Solutions

Calculus: Early Transcendentals

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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Show that the angle θ between L 1 and L 2 satisfies cot θ = m 2 m 1 + 1 m 2 − m 1

Solution Summary: The author calculates that the angle theta between L_1andL2 satisfies Mathrm

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Show that the angle $θ$ between $L1 and L2$ satisfies

$cotθ=m2m1+1m2−m1$

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Chapter 1 Solutions

Show that the angle θ between L 1 and L 2 satisfies cot θ = m 2 m 1 + 1 m 2 − m 1

Solution Summary: The author calculates that the angle theta between L_1andL­2 satisfies Mathrm

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Want to see the full answer?

Chapter 1 Solutions

Solution Summary: The author calculates that the angle theta between L_1andL2 satisfies Mathrm