Inverse Tangent and Tangent Functions

The video tutorial explains how to evaluate inverse tangent function values using reference triangles and the unit circle. It covers the calculation of inverse tangent for values like -1, √3, -√3/3, and 0, highlighting the use of reference angles and triangles in different quadrants. The tutorial also discusses the properties of the tangent function and its behavior in various quadrants, providing a comprehensive understanding of inverse trigonometric functions.

What is the range of angles for the inverse tangent function?

• 0 to pi

• Negative pi to pi

• Negative pi/2 to positive pi/2

• 0 to 2pi

In which quadrant is the tangent function negative?

• Third quadrant

• Fourth quadrant

• First quadrant

• Second quadrant

What is the angle in radians for the inverse tangent of negative one?

• Negative pi/2

• Negative pi/4

• Pi/2

• Pi/4

What is the tangent of 60 degrees?

• Square root of 3/2

• 1/2

• 1

• Square root of 3

Which angle corresponds to the inverse tangent of square root three?

• Pi/6

• Pi/3

• Pi/2

• Pi/4

What is the simplified form of negative square root three divided by three?

• Negative three divided by square root three

• Negative square root three

• Negative one

• Negative one divided by square root three

Which reference triangle is used for the inverse tangent of negative square root three divided by three?

• Isosceles triangle

• Equilateral triangle

• 30-60-90 triangle

• 45-45-90 triangle

What is the angle in radians for the inverse tangent of zero?

• Pi/2

• Negative pi/2

• Zero

• Pi

On the unit circle, what is the point where the tangent function value is zero?

• (0, 1)

• (1, 0)

• (0, -1)

• (-1, 0)

How can the inverse tangent of zero be evaluated besides using reference triangles?

• Using the unit circle or graph of the tangent function

• Using the cosine function

• Using the secant function

• Using the sine function