Trigonometry and Angles Quiz

If the terminal arm of an angle passes through the point (–4, 3), in which quadrant is the angle, and what is the related acute angle?

• Quadrant I, 36.87°

• Quadrant II, 36.87°

• Quadrant III, 36.87°

• Quadrant II, 53.13°

A point lies on the terminal arm of an angle in Quadrant III and makes a reference angle of 45°. What is the principal angle?

• 135°

• 225°

• 315°

• 135°

An angle has a terminal arm in Quadrant IV with a reference angle of 30°. What is the principal angle?

• 60°

• 150°

• 330°

• 240°

If tan(θ) = -3/4 and θ is in Quadrant II, what is the reference angle?

• 53.13°

• 36.87°

• 45°

• 73.74°

Which of the following angles has a reference angle of 60°?

• 120°

• 240°

• 300°

• All of the above

An angle in standard position has its terminal arm passing through (–5, –12). What is the reference angle?

• 67.38°

• 22.62°

• 75.96°

• 90°

A terminal arm lies in Quadrant II with a reference angle of 40°. What is the principal angle?

• 220°

• 140°

• 130°

• 50°

If an angle is in Quadrant III and has a reference angle of 25°, what is its principal angle?

• 205°

• 245°

• 155°

• 335°

A terminal arm in Quadrant IV has a reference angle of 18.43°. What is the principal angle, rounded to two decimals?

• 161.57°

• 198.43°

• 341.57°

• 371.57°

Which quadrant does an angle of 283° lie in, and what is its reference angle?

• Quadrant IV, 77°

• Quadrant III, 103°

• Quadrant IV, 17°

• Quadrant III, 77°