Understanding Angles and Tangents

The video tutorial explains how to find the two smallest positive angles that satisfy the condition where tangent a is less than zero, and the reference angle is 0.6202 radians. It discusses the relationship between tangent and the coordinate plane, identifying that the terminal side of angle a must be in either the second or fourth quadrant. The tutorial then calculates the least positive angle in the second quadrant as pi minus the reference angle and the second smallest angle in the fourth quadrant as two pi minus the reference angle. The final results are presented as 2.5214 radians and 5.6630 radians.

What is the reference angle given in the problem?

• 1.5708 radians

• 3.1416 radians

• 2.0944 radians

• 0.6202 radians

In which quadrants is the tangent of an angle negative?

• Second and Fourth

• First and Fourth

• Second and Third

• First and Third

What is the relationship between tangent and the coordinate plane?

• Tangent is y divided by x

• Tangent is y minus x

• Tangent is x times y

• Tangent is x divided by y

Why must the terminal side of angle A be in the second or fourth quadrant?

• Because tangent is zero

• Because tangent is positive

• Because tangent is undefined

• Because tangent is negative

How do you calculate the least positive angle in the second quadrant?

• Subtract the reference angle from pi

• Add the reference angle to pi

• Divide pi by the reference angle

• Multiply the reference angle by pi

What is the formula for finding the angle in the fourth quadrant?

• pi plus the reference angle

• pi minus the reference angle

• 2pi plus the reference angle

• 2pi minus the reference angle

What is the significance of the reference angle in this problem?

• It determines the quadrant

• It is irrelevant

• It is used to calculate the exact angle

• It is the same as the angle

What is the smallest positive angle calculated in radians?

• 1.0472 radians

• 5.6630 radians

• 3.1416 radians

• 2.5214 radians

What is the second smallest positive angle calculated in radians?

• 5.6630 radians

• 2.5214 radians

• 3.1416 radians

• 1.0472 radians

What is the general range for angle A in this problem?

• 0 to pi radians

• 0 to 2pi radians

• pi to 2pi radians

• 0 to 3pi radians