How to use the inverse tangent without a calculator

The video tutorial explains how to find the angle Theta using the tangent function. It covers the unit circle, reference angles, and the quadrants where the tangent is negative. The tutorial also discusses the restrictions on the tangent inverse function and how to determine the correct angle within these restrictions.

What is the tangent of the angle π/6?

• sqrt(3)

• 1

• 0

• sqrt(3)/3

Which of the following is the correct tangent value for π/4?

• 0

• sqrt(2)/2

• sqrt(3)/2

• 1

In which quadrants is the tangent function negative?

• 1st and 3rd

• 2nd and 4th

• 3rd and 4th

• 1st and 2nd

What is the reference angle for a tangent value of negative sqrt(3)/3?

• π/4

• π/6

• π/3

• π/2

What is the correct angle within the restriction for a tangent value of negative sqrt(3)/3?

• 2π/3

• -π/3

• π/2

• 5π/3