Understanding Angles in Standard Position

The video tutorial explains how to determine angles in standard position for points on a coordinate plane. It covers the use of inverse tangent to find angles, the importance of plotting points to verify quadrants, and provides examples for points in different quadrants. The tutorial emphasizes using a calculator to find angles and reference angles, ensuring they fall within the correct interval.

What is the range of the inverse tangent function?

• -180 to 180 degrees

• 0 to 360 degrees

• 0 to 180 degrees

• -90 to 90 degrees

For the point (4,7), what is the angle in standard position?

• 45.00 degrees

• 60.26 degrees

• 30.00 degrees

• 75.00 degrees

Which quadrant is the point (-2,3) located in?

• Fourth quadrant

• Second quadrant

• First quadrant

• Third quadrant

What is the reference angle for the point (-2,3) when calculated using the inverse tangent?

• 123.69 degrees

• 180.00 degrees

• 56.31 degrees

• 90.00 degrees

How can you adjust a negative angle to find the correct angle in standard position?

• Subtract 90 degrees

• Add 360 degrees

• Add 180 degrees

• Subtract 180 degrees

For the point (6,-7), what is the angle in standard position?

• 270.00 degrees

• 310.60 degrees

• 360.00 degrees

• 49.40 degrees

Which quadrant is the point (6,-7) located in?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

For the point (-1,-2), what is the reference angle?

• 63.43 degrees

• 90.00 degrees

• 180.00 degrees

• 243.43 degrees

Which quadrant is the point (-1,-2) located in?

• Fourth quadrant

• Third quadrant

• Second quadrant

• First quadrant

What is the correct angle in standard position for the point (-1,-2)?

• 270.00 degrees

• 63.43 degrees

• 243.43 degrees

• 180.00 degrees