Inverse Tangent Function Concepts

The video tutorial explains how to evaluate expressions involving inverse tangent, covering its domain and range. It provides step-by-step solutions for finding inverse tangent values for specific expressions, such as -1, √3, -√3/3, and 0. The tutorial emphasizes understanding the unit circle and rationalizing fractions to simplify calculations.

What is the range of the inverse tangent function?

• -π to π radians

• -π/2 to π/2 radians

• 0 to π radians

• 0 to 2π radians

Which angle corresponds to the inverse tangent of -1?

• -90 degrees

• 90 degrees

• -45 degrees

• 45 degrees

In which quadrant is the angle for inverse tangent of -1 located?

• First quadrant

• Fourth quadrant

• Second quadrant

• Third quadrant

What is the angle in degrees for the inverse tangent of √3?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

How can you simplify the fraction a/b divided by c/b?

• c/a

• b/a

• a/c

• b/c

What is the angle in radians for the inverse tangent of -√3/3?

• -π/4

• -π/6

• -π/3

• -π/2

Why is it helpful to rationalize the numerator when evaluating inverse tangent?

• To make the fraction larger

• To simplify the calculation

• To recognize the point on the unit circle

• To change the angle

What is the angle for the inverse tangent of 0?

• 270 degrees

• 0 degrees

• 90 degrees

• 180 degrees

Where on the unit circle is the point for inverse tangent of 0 located?

• On the negative x-axis

• On the positive x-axis

• At the bottom

• At the top

What is the initial side of the angle for inverse tangent of 0?

• Positive x-axis

• Negative y-axis

• Positive y-axis

• Negative x-axis