Exam 4: Trigonometric Functions of Angles

Name the trigonometric function that has a value of .

Evaluate cos(750°) exactly.

A tracking station has two telescopes that are 1.6 miles apart. The telescopes can lock onto a rocket after it is launched and record the angles of elevation to the rocket. If the angles of elevation from telescope A and B are 27° and 56°, respectively, then how far is the rocket from telescope A? Round to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15.1 inches/minute in time t = 14.1 minutes. Round your answer to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15 inches/second in time t = 52 seconds. Round your answer to one decimal place.

Use a calculator to approximate the csc 6.3° to three decimal places.

Find the reference angle for in terms of both radians and degrees.

Police spotlight. A police helicopter hovers above a crime scene at night. The pilot shines a light downward that has a field of view $\theta$ = 32°. What is the diameter of the circle that is illuminated on the ground if the helicopter is hovering 94 ft above the ground? Round your answer to one decimal place.

Find the area of the circular sector with a radius r = 7.9 km and central angle $\theta$ = °) Round your answer to one decimal place.

Find the angular speed, , associated with rotating a central angle $\theta$ = 15 In time t = 23 seconds. Express your answer in radians/second.

Find the measure (in radians) of a central angle, θ, that intercepts an arc on a circle with radius 7.7 in. and arc length 1.2 in.. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 20.5 centimeters in time t = 21.8 minutes. Round your answer to two decimal places.

Find the linear speed of a point traveling at a constant speed along the circumference of a circle with radius r = 32 meters and angular velocity = .

Find the positive measure of $\theta$ (rounded to the nearest degree) if sin $\theta$ = And the terminal side of $\theta$ lies in quadrant II.

Find the area of the triangle described. Round to the nearest integer. c = 428, a = 416 , b = 120

Find the distance, s, a point travels along a circle over time t = 6 seconds, given the angular speed = And the radius r = 7 centimeters.

What angle is coterminal to -1155°?

Use the right triangle diagram below and the information given to find the indicated measure. $\beta$ = 16°, a = 42 m, find c. Round your answer to two decimal places.

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

Use a calculator to approximate the length of the arc on a circle with central angle $\theta$ = And radius r = 3.3 mi. Round your answer to two significant digits.