Exam 4: Trigonometric Functions of Angles

State in which quadrant or on what axis the terminal side of a 526° angle in standard position lies.

Classify the triangle as AAS, SAS, SSA, SAS, or SSS given the following information. b, c $\alpha$

A regular heptagon has sides measuring 36 feet. What is its area? (Hint: The measure of an angle of a regular n-gon is equal to 180(n - 2) divided by the number of sides, n.) Round to one decimal place.

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

Find the area of the circular sector with a radius r = 1.1 km and central angle $\theta$ = ) Round your answer to three significant digits.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 5.1 miles/day in time t = 8.1 days. Round your answer to one decimal place.

Use a calculator to approximate the sec 23.8° to three decimal places.

The terminal side of an angle θ in standard position passes through the point . Calculate the value of tan θ.

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. b = 217 yd., $\gamma$ = 54.2°, $\alpha$ = 37.0°

Determine the angle of the smallest possible positive measure that is coterminal with 1253°.

The terminal side of an angle θ in standard position passes through the point (2, 1). Calculate the value of secθ. Round your answer to four decimal places.

Evaluate cos(78° 32'). Round answers to 3 decimal places.

Evaluate cot(420°) exactly.

Use the reciprocal identity To calculate cot 30°.

Find the measure (in radians) of a central angle, $\theta$ , that intercepts an arc on a circle with radius 3/8 mm and arc length 9/7 mm.

Distance across a pond. Monica can determine the distance across a pond without physically measuring it. She marks off a right triangle on the edge of the pond and calculates the distance across it using a trigonometric function. If Monica determines that one of the acute angles of the right triangle is 52°, and the side adjacent to the angle is 1360 ft, what is the distance across the pond? Round your answer to one decimal place. 1360 ft 52°

Convert 58.6° to radians. Round your answer to 3 significant digits.

Solve the given triangle. Round angles to one decimal place and side measure to 3 significant figures. c = 151 cm., a = 55 cm., $\gamma$ = 69.0°

Golf If the flagpole that a golfer aims at on a green measures 5 feet from the ground to the top of the flag and a golfer measures a 5° angle from top to bottom of the pole, how far (in horizontal distance) is the golfer from the flag? Round to the nearest foot.

A tracking station has two telescopes that are 1.7 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 22.5° and 44°, respectively, then how far is the rocket from telescope B? Round to one decimal place.