IM2 Final Exam Review

Which of the following is true for a 30°-60°-90° triangle with a hypotenuse of 40cm?

• The shorter leg is 20√3cm

• The shorter leg is 20

• The longer leg is 20

• The longer leg is 10

In a circle, the measure of an inscribed angle is always:

• Twice the intercepted arc

• Equal to the intercepted arc

• One-third the intercepted arc

• Half the intercepted arc

If an angle is inscribed in a semicircle, it must be:

• 30°

• 60°

• 90°

• 120°

If an arc has a central angle of 210° and a radius of 6 cm, what is the arc length (in radians)?

• 4π

• 7π

• π

• 6π

What is the formula for the volume of a cylinder?

• V = (1/3)πr²h

• V = πr²h

• V = (4/3)πr³

• V = πrh

Which of the following angles would produce a negative cosine ratio?

• 30°

• 90°

• 150°

• 300°

Which identity is always true in trigonometry? (Analyze)

• sin²θ + cos²θ = 1

• tanθ = sinθ + cosθ

• sinθ × cosθ = 1

• tan²θ = 1 - sin²θ

A sphere has a volume of 288π. What is its radius?

• 2

• 3

• 6

• 9

What is the value of tan 45°?

• 0

• 2

• 1

• √3

If cos θ = 0.5 and θ is in Quadrant IV, what is the value of sin θ?

• sin θ = -0.5

• sin θ = -0.866

• sin θ = 0.866

• sin θ = 0.5