Learn to evaluate the limit of tangent

The video tutorial explains the tangent function as X approaches π, using direct substitution and the unit circle. It describes how the tangent of an angle is determined by the Y over X coordinates on the unit circle. The tutorial also covers graphing the tangent function, highlighting its period and how it crosses at zero. Various methods for evaluating the tangent function are discussed, including using a graphing calculator.

What is the first step in evaluating the tangent of X as X approaches π?

• Use a graphing calculator

• Apply direct substitution

• Refer to a trigonometric table

• Estimate using a triangle

How is the tangent of an angle defined on the unit circle?

• Y coordinate over X coordinate

• X coordinate over Y coordinate

• Adjacent over hypotenuse

• Opposite over hypotenuse

What are the coordinates of the point on the unit circle at angle π?

• (-1, 0)

• (0, -1)

• (1, 0)

• (0, 1)

What is the period of the tangent function?

• 4π

• 2π

• π

• π/2

At what point does the tangent graph cross zero?

• π

• 3π/2

• π/2

• 2π