Evaluate for tangent when given an angle in radians - Cool Math

The video tutorial explores the concept of the unit circle, focusing on understanding angles, particularly π/2, and their positions on the circle. It explains how to evaluate the tangent function at π/2, highlighting that it is undefined due to division by zero. The session concludes with a brief Q&A to clarify any remaining doubts.

What is the significance of the angle π/2 on the unit circle?

• It is the point where the circle intersects the y-axis.

• It is the point where the circle intersects the x-axis.

• It is the starting point of the circle.

• It represents a full rotation.

How can the angle π/2 be rewritten in terms of π?

• 4π/2

• 2π/2

• π/4

• 3π/2

What is the coordinate point for the angle π/2 on the unit circle?

• (-1, 0)

• (0, 1)

• (1, 0)

• (0, -1)

Why is the tangent of π/2 undefined?

• Because both coordinates are zero.

• Because it is not on the unit circle.

• Because the y-coordinate is zero.

• Because the x-coordinate is zero.

What is the formula for calculating tangent on the unit circle?

• x/y

• x-y

• y/x

• x+y