39. MATHEMATICAL CONNECTIONS The figure shows the < acute angle of intersection, 02 - 0₁, of two lines with slopes m₁ and m₂. y = m₁x + b₁ y = m₂x + b₂ 02-01 02 a. Use the difference formula for tangent to write an equation for tan (02 - 0₁) in terms of m₁ and m. b. Use the equation from part (a) to find the acute angle of intersection of the lines y = x - 1 and 4-√3 y x + √32) 2-√3

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 111RE
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39. MATHEMATICAL CONNECTIONS The figure shows the
<
acute angle of intersection, 02 - 0₁, of two lines with
slopes m₁ and m₂.
y = m₁x + b₁
y = m₂x + b₂
02-01
02
a. Use the difference formula for tangent to write an
equation for tan (02 - 0₁) in terms of m₁ and m.
b. Use the equation from part (a) to find the acute
angle of intersection of the lines y = x - 1 and
4-√3
y
x +
√32)
2-√3
Transcribed Image Text:39. MATHEMATICAL CONNECTIONS The figure shows the < acute angle of intersection, 02 - 0₁, of two lines with slopes m₁ and m₂. y = m₁x + b₁ y = m₂x + b₂ 02-01 02 a. Use the difference formula for tangent to write an equation for tan (02 - 0₁) in terms of m₁ and m. b. Use the equation from part (a) to find the acute angle of intersection of the lines y = x - 1 and 4-√3 y x + √32) 2-√3
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