FiltersDone

Question type

Essay

Multiple Choice

Short Answer

True False

Matching

Exam 4: Trigonometric Functions of Angles

Show Answer

Share

---

All types

Filters

Study Flashcards

Question 51

Multiple Choice

Review LaterAdd Note

Review Later

Use the reciprocal identity To calculate cot 60°.

A) 3
B) 2
C)
D)

E) B) and C)
F) A) and D)

Correct Answer

verified

Show Answer

Question 52

Multiple Choice

Review LaterAdd Note

Review Later

Use the triangle to write tan $\theta$ , if A = 5, B = 12, and C = 13.

A)
B)
C)
D)

E) B) and D)
F) A) and C)

Correct Answer

verified

Show Answer

Question 53

Short Answer

Review LaterAdd Note

The terminal side of an angle θ in standard position passes through the point (2, 5). Calculate the value of tanθ. Round your answer to four decimal places.

Find the area of the circular sector with a radius r = 8.6 in and central angle θ = °. Round your answer to one decimal place.

Big Ben. The Big Ben clock tower in London has clocks on all four sides. If each clock has a minute hand that is 11.5 feet in length, how far does the tip of each hand travel in 55 minutes? Round to the nearest integer.

Use the triangle with C = to find the exact cotθ. Rationalize the denominator and reduce the fraction if necessary.

If sinθ = , and the terminal side of θ lies in quadrant II, find secθ.

If tan $\theta$ = , and the terminal side of $\theta$ lies in quadrant III, find csc $\theta$ .

Electric Motor. A 10-inch diameter pulley is being driven by an electric motor that is running at 600 revolutions per minute. If it is connected by a belt to a 15-inch diameter pulley that is driving a drill bit, what is the speed of the drill bit in revolutions per minute (rpm)? Round your answer to the nearest whole number.

Electronic Signals. Two electronic signals that cancel each other out are said to be 180° out of phase, or the difference in their phases is 180°. How many radians out of phase are two signals whose phase difference is 66°?

State in which quadrant or on what axis the terminal side of a 1373° angle in standard position lies.

A car owner decides to upgrade from tires with a diameter of 24.5 inches to tires with a diameter 26.6 inches. If she doesn't update the onboard computer, how fast will she be traveling when the speedometer reads 67 mph? Round to the nearest mph.

Calculate cscθ if θ is in standard position and has a measure of 1890°.

Use a calculator to approximate the sin 15.8° to three decimal places.

Glide slope of an airplane. The glide slope of an airplane is the angle between the flight path approaching the runway and the ground. An airliner approaches a runway on a glide slope of approximately 3°. How long is the flight path of an approaching airliner if its height above the ground is 1,327 feet? Round your answer to the nearest whole foot.

If tan $\theta$ = , and the terminal side of $\theta$ lies in quadrant II, find sin $\theta$ .

State in which quadrant or on which axes the angles with the given measure in standard position would lie.

Sprinkler: A sprinkler is set to reach an arc of 57 feet, 17 feet from the sprinkler. Through how many radians does the sprinkler rotate? Give the answer as a fraction.

Low Earth Orbit Satellites. A low earth orbit (LEO) satellite is traveling in an approximately circular orbit 250 km above the surface of the Earth. If a ground station tracks the satellite when it is within a 69° cone above the tracking antenna (directly overhead), how many kilometers does the satellite travel during the ground station track? Assume the Earth has a radius of 6,400 km. Round to the nearest kilometer.

State in which quadrant or on what axis the terminal side of a 1170° angle in standard position lies.