Trigonometry 10

Which of the following statements is true about angles drawn in standard position?

• The terminal side is the side of the angle that is initially drawn.

• The initial side is the side of the angle that is initially drawn.

• The terminal side is the side of the angle that intersects the positive x-axis after rotation.

• The initial side is the side of the angle that intersects the positive x-axis after rotation.

Which of the following statements correctly describes negative and positive angles?

• Positive angles are measured in a counterclockwise direction from the initial side, while negative angles are measured in a clockwise direction.

• Positive angles are measured in a clockwise direction from the initial side, while negative angles are measured in a counterclockwise direction.

• Both positive and negative angles are measured in a clockwise direction from the initial side.

• Both positive and negative angles are measured in a counterclockwise direction from the initial side.

Which of the following pairs of angles are coterminal?

• 45 and 135

• 60 and −300

• 90 and 270

• 180 and −180

What is the measure, in radians, of a central angle that intercepts an arc equal in length to the radius of the circle?

• 𝜋 radians

• 𝜋/2 ​ radians

• 1 radians

• 2𝜋 radians

Which of the following angles lie on the axes and are considered quadrantal angles?

• 30°

• 60°

• 90°

• 120°

Which of the following best defines an acute angle in radians?

• An angle whose measure is greater than 𝜋/2 radians.

• An angle whose measure is exactly 𝜋/2 radians.

• An angle whose measure is less than 𝜋/2 radians.

• An angle whose measure is exactly 𝜋 radians.

Which of the following best defines an obtuse angle in radians?

• An angle whose measure is greater than 𝜋/2 radians.

• An angle whose measure is exactly 𝜋/2 radians.

• An angle whose measure is less than 𝜋/2 radians.

• An angle whose measure is exactly 𝜋 radians.

Which of the following angles does not have a supplementary angle?

• 𝜋/3

• 𝜋/2

• 𝜋/4

• 3𝜋/2

Which formula accurately converts an angle from degrees to radians?

• 𝑅𝑎𝑑𝑖𝑎𝑛𝑠=180/𝜋×𝑑𝑒𝑔𝑟𝑒𝑒𝑠

• 𝑅𝑎𝑑𝑖𝑎𝑛𝑠=𝜋/180×𝑑𝑒𝑔𝑟𝑒𝑒𝑠

• 𝑅𝑎𝑑𝑖𝑎𝑛𝑠=90/𝜋×𝑑𝑒𝑔𝑟𝑒𝑒𝑠

• 𝑅𝑎𝑑𝑖𝑎𝑛𝑠=𝜋/90×𝑑𝑒𝑔𝑟𝑒𝑒𝑠

Which formula accurately converts an angle from radians to degrees?

• 𝐷𝑒𝑔𝑟𝑒𝑒𝑠=180/𝜋×𝑟𝑎𝑑𝑖𝑎𝑛𝑠

• 𝐷𝑒𝑔𝑟𝑒𝑒𝑠=𝜋/180×𝑟𝑎𝑑𝑖𝑎𝑛𝑠

• 𝐷𝑒𝑔𝑟𝑒𝑒𝑠=90/𝜋×𝑟𝑎𝑑𝑖𝑎𝑛𝑠

• 𝐷𝑒𝑔𝑟𝑒𝑒𝑠=𝜋/90×𝑟𝑎𝑑𝑖𝑎𝑛𝑠