Pre-Calculus Reviewer

What is true about the unit circle?

• It has a radius of 1 unit.

• It has a radius of 0.5 units.

• It has a radius of 2 units.

• It has a radius of 3 units.

When do we say that the angle is in standard position?

• If its vertex is at the origin and its initial side is along the positive x-axis.

• If its vertex is at the origin and its initial side is along the negative x axis.

• If its vertex is at the origin and its initial side is along the positive y - axis.

• If its vertex is at the origin and its initial side is along the negative y - axis.

Which of the following statements correctly describes the relationship between radians and degrees in the unit circle?

• 360°=1 radian

• 2π radians=360°

• π radians=90°

• π/2 radians=60°

How many degrees are equivalent to π radians?

• 90°

• 180°

• 270°

• 360°

Which of the following is the radian measure of 90°?

• π/4

• π/2

• π

• 2π

If an angle measure π/3 radians, how many degrees does it measure?

• 120°

• 90°

• 60°

• 30°

Which of the following is a correct conversion?

• 90°=π/2

• 180°=π/4

• 270°=3π/4

• 360°=3π/2

An angle measures 3π radians. Is this angle more or less than one complete revolution 360°?

• More, because it is greater than 2π.

• More, because it equals 720°.

• Less, because it is less than 2π.

• Less, because it equals 270°.

A student claims that 45° is equivalent to π3 radians. Evaluate this claim.

• The student is correct because both values are small objects.

• The student is incorrect because 45°=π/4 radians.

• The student is correct because 45° matches π/3 radians.

• The students is incorrect because 45°=π radians.

Design a problem where the angle 300° must be converted to radians and simplified. Provide the conversion and solution.

• 300°xπ/180=5π/3radians

• 300°xπ/180=6π/5radians

• 300°x180/π=2π radians

• 300°xπ/180=π radians