Evaluate for Theta Between 0 and 2pi ex 4, tanθ = 0

The video tutorial explains how to evaluate the tangent of an angle on the unit circle, focusing on when the tangent equals zero. It highlights that tangent is the ratio of the X and Y coordinates on the unit circle and emphasizes the importance of the Y coordinate being zero for the tangent to be zero. The tutorial identifies that the angle π is where the tangent equals zero, within the constraints of 0 to 2π.

What is the relationship between the tangent of an angle and the unit circle?

• Tangent is the difference between x and y coordinates.

• Tangent is the product of x and y coordinates.

• Tangent is the ratio of x to y coordinates.

• Tangent is the sum of x and y coordinates.

Why can't the x-coordinate be zero when evaluating the tangent function?

• It would make the function zero.

• It would make the function positive.

• It would make the function undefined.

• It would make the function negative.

What is the significance of the y-coordinate being zero in the unit circle?

• It indicates the tangent of the angle is zero.

• It indicates the angle is undefined.

• It indicates the angle is 45 degrees.

• It indicates the angle is 90 degrees.

At which angle does the tangent of theta equal zero on the unit circle?

• π

• 0

• 2π

• π/2

Why are 0 and 2π not included in the constraints for the angle?

• They are not angles where x-coordinate is zero.

• They are not angles where y-coordinate is zero.

• They are not within the specified range.

• They are not part of the unit circle.