Exam 4: Trigonometric Functions of Angles

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 = 7/ 8 feet in time t= 85 years.

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

Use the right triangle diagram below and the information given to find the indicated measure. $\beta$ = 16°, b = 19 yd, find a. Round your answer to two decimal places.

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. b = 63 in., $\gamma$ = 48.4°, a = 56.6 in.

A real estate agent needs to determine the area of a triangular lot. Two sides of the lot are 130 feet and 100 feet. The angle between the two measured sides is 79°. What is the area of the lot? Round to one decimal place.

A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of θ drawn in standard position. If tanθ = , then what is sinθ?

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

Evaluate tan(45°) - cos(90°).

State in which quadrant or on what axis the terminal side of a 791° angle in standard position lies.

An airplane door is 5 feet high. If a slide attached to the bottom of the open door is at an angle of 40° with the ground, and the angle formed by the line of sight from where the slide touches the ground to the top of the door is 50°, then how long is the slide?

Evaluate csc(-1410°) - sec(1500°).

Convert 4.1 radians to degrees. Round the answer to the nearest hundredth of a degree.

Evaluate tan(750°) exactly.

A plane flew due north at 380 mph for 4 hours. A second plane, starting at the same point and at the same time flew southeast at an angle 168° clockwise from due north for 4 hours. If, at the end of the 4 hours, the two planes were 2300 miles apart, how fast was the second plane traveling?

A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of $\theta$ drawn in standard position. If tan $\theta$ = , then what is sin $\theta$ ?

Evaluate sec(78° 46' 22"). Round answers to 3 decimal places.

Search and Rescue The illustration below shows a search and rescue helicopter with a 23° field of view with a search light. If the search and rescue helicopter is flying at an altitude of 525 feet above sea level, what is the diameter of the circle illuminated on the surface of the water?

Evaluate cos(-1260°) - sec(1080°).

Indicate the quadrant in which the terminal side of θ must lie in order for the following to be true: tanθ is positive and cosθ is negative.

Find the supplement of an angle that measures 40 degrees.