At their point of intersection, the 0 between any two nonparallel lines satisfies the relationship (m2 – m1) cos 0 = sin0 + m¡m2sin0 where m, and m2 represent the slopes of the two lines. Rewrite the equation in terms of a single trigonometric function. 7 a. Find the angle between the lines Y, = x- 3 and Y, = x- 1. b. Find the angle between the lines Y, = 3x – 1 and Y, = -2x + 7. %3D 3 %3D %3D

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 51A
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At their point of intersection, the 0 between any two nonparallel lines satisfies the relationship
(m2 – m1) cos 0 = sin0 + m,m2sin0 where m, and m2 represent the slopes of the
-
two lines. Rewrite the equation in terms of a single trigonometric function.
a. Find the angle between the lines Y, =x – 3 and Y, =x- 1.
%3D
b. Find the angle between the lines Y, = 3x -1 and Y, = -2x + 7.
Transcribed Image Text:At their point of intersection, the 0 between any two nonparallel lines satisfies the relationship (m2 – m1) cos 0 = sin0 + m,m2sin0 where m, and m2 represent the slopes of the - two lines. Rewrite the equation in terms of a single trigonometric function. a. Find the angle between the lines Y, =x – 3 and Y, =x- 1. %3D b. Find the angle between the lines Y, = 3x -1 and Y, = -2x + 7.
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