Precalculus Semester 2 24-25 Final Exam

• sin θ

• cos θ

• tan θ

• Number of Radians

How many radians represent a full turn?

• 360

• 180

• π

• 2π

Which function is the reciprocal of cos (x)?

• sin (x)

• tan (x)

• sec (x)

f(x) is a periodic function. The figure shows a section of f(x). What are the amplitude and period of f(x)?

• The amplitude is 3 and the period is 2π

• The amplitude is 2 and the period is 2π

• The amplitude is 2 and the period is π

• The amplitude is 4 and the period is 2π

• [-1, 1]

• [0, 1]

• [0, 2]

• [-2, 2]

A flagpole makes a shadow that is 4 feet long. If the angle of elevation from the tip of the shadow is 56°, the height of the flagpole (to the nearest tenth) is ...

A 13 foot pole creates a shadow that is 8.5 feet. What would be the angle of elevation from the tip of the shadow to the top of the pole to the nearest degree?

• 57°

• 41°

• 49°

• 38°

What is true regarding the Law of Cosines?

• It only works with right triangles.

• It is only useful for acute triangles.

• It can only be used when an angle and it's opposite side are known.

• It can be used when all three sides are known.

Consider triangle ABC where m∠A = 38° and the sides that form angle A (sides b and c) measure 9 and 12. What is the length of side an across from angle A to the nearest hundredth?

• 7.40

• 54.79

• 21

• 9.30

Consider the triangle in the figure. Calculate the length of side x to the nearest hundredth.

• 12.82

• 17.01

• 10.00

• 6.00