Positive and Negative Angles

Positive angles are angles measured in the anticlockwise direction from the positive x-axis.

• True

• False

Negative angles are angles measured in the clockwise direction from the positive x-axis.

• True

• False

If θ is an angle in a quadrant such that θ > 360°, then the position of θ can be determined by subtracting a _______ of 360° or 2π rad to obtain an angle that corresponds to 0° ≤ θ ≤ 360 ° or 0 ≤ θ ≤ 2π rad.

Convert the following angles to radians.

Select the correct pairs.

• 290° 10' = 5.064 rad

• –359.4° = –6.273 rad

• –790° = –13.79 rad

• 620° = 10.28 rad

Convert the following angles to degrees.

Select the correct pair(s).

• 1.3 rad = 74.48°

• 13/4 rad = 186.21°

• –2.7π rad = – 476°

• 13π/4 rad = 585°

Determine the quadrant for –340.5°.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Determine the quadrant for –735°.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Determine the quadrant for 0.36 rad.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Determine the quadrant for –1 200°.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Determine the quadrant for 550°.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV