Understanding the Domain of Tangent and Cotangent Functions

The video tutorial explains how to determine angles not in the domain of the tangent and cotangent functions over the interval from 0 to 360 degrees. It highlights that the tangent function is undefined where x is zero, specifically at 90 and 270 degrees. Similarly, the cotangent function is undefined where y is zero, at 0 and 180 degrees. The tutorial uses the unit circle to illustrate these concepts, emphasizing the importance of avoiding division by zero.

What is the interval within which we need to determine the angles not in the domain of tangent and cotangent functions?

• 90 to 270 degrees

• 0 to 180 degrees

• 0 to 360 degrees

• 180 to 360 degrees

Why is the tangent function undefined at certain angles?

• Because x is zero

• Because the angle is negative

• Because y is zero

• Because both x and y are zero

What happens to the tangent function when x is zero on the unit circle?

• It becomes zero

• It becomes undefined

• It becomes infinite

• It becomes negative

Which angles are not in the domain of the tangent function within the given interval?

• 0 and 180 degrees

• 90 and 270 degrees

• 45 and 225 degrees

• 180 and 360 degrees

At which point on the unit circle is x zero, causing the tangent function to be undefined?

• (0, 1) and (0, -1)

• (1, 1) and (-1, -1)

• (1, 0) and (-1, 0)

• (0, 0) and (1, 1)

What is the initial side position for angles in standard position?

• Along the positive y-axis

• Along the positive x-axis

• Along the negative x-axis

• Along the negative y-axis

What is the reason for the cotangent function being undefined at certain angles?

• Because x is zero

• Because y is zero

• Because both x and y are zero

• Because the angle is negative

Which angles are not in the domain of the cotangent function within the given interval?

• 0 and 180 degrees

• 90 and 270 degrees

• 45 and 225 degrees

• 180 and 360 degrees

At which point on the unit circle is y zero, causing the cotangent function to be undefined?

• (1, 0) and (-1, 0)

• (0, 1) and (0, -1)

• (0, 0) and (1, 1)

• (1, 1) and (-1, -1)

What is the significance of the interval not including 360 degrees for the cotangent function?

• It means 360 degrees is excluded

• It means 360 degrees is zero

• It means 360 degrees is included

• It means 360 degrees is undefined