Evaluate the limit with sine

The video tutorial explains how to evaluate limits using direct substitution, focusing on the example of the limit of sine as X approaches π/2. It highlights that the sine of π/2 equals 1, using the unit circle to illustrate this concept. The tutorial emphasizes the simplicity and effectiveness of direct substitution in limit evaluation.

What is the simplest method to evaluate a limit according to the video?

• Numerical approximation

• Graphical analysis

• Direct substitution

• Using L'Hôpital's Rule

What is the limit of sine as X approaches π/2?

• 0

• 1

• Undefined

• π

Why is the sine of π/2 equal to 1?

• Because π/2 is the maximum value of sine

• Because sine represents the Y coordinate

• Because sine represents the X coordinate

• Because π/2 is a special angle

What does the sine function represent in the context of the unit circle?

• The angle in radians

• The Y coordinate

• The radius

• The X coordinate

At which point on the unit circle is the sine of π/2 evaluated?

• (0, 1)

• (0, -1)

• (-1, 0)

• (1, 0)