Understanding Angles Between Lines

The video tutorial explains how to calculate the angle between two lines given their equations. It starts by introducing the equations of the lines L1 and L2. The tutorial then calculates the angle each line makes with the positive x-axis, denoted as α and β, respectively. Using these angles, the video derives the angle between the two lines and also discusses the complementary angle. The process involves understanding the slopes of the lines and applying trigonometric identities to find the angles.

What is the equation of line L1?

• L1: √3x - y = 0

• L1: x - √3y = 0

• L1: 2x - y = 0

• L1: x + y = 0

What is the slope of line L1?

• 1

• √3

• 2

• 0

What angle does line L2 make with the positive x-axis?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

What is the formula used to find the angle between two lines?

• tan(θ) = (m1 - m2) / (1 - m1*m2)

• tan(θ) = (m1 * m2) / (1 + m1*m2)

• tan(θ) = (m1 + m2) / (1 - m1*m2)

• tan(θ) = (m1 - m2) / (1 + m1*m2)

What is the smaller angle between the two lines?

• 150 degrees

• 30 degrees

• 90 degrees

• 60 degrees