College Algebra & Trigonometry - Standalone book
College Algebra & Trigonometry - Standalone book
1st Edition
ISBN: 9780078035623
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
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Chapter 7.2, Problem 79PE

Use the relationships a c = sin A sin C and b c = sin B sin C from the law of sines to show that a + b c = cos A − B 2 sin C 2 . This is called a Mollweide equation, named after German mathematician and astronomer Karl Mollweide (1774—1825). Notice that the equation uses all six parts of a triangle, and for this reason, is sometimes used to check the solution to a triangle.

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Chapter 7.2, Problem 78PE
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Chapter 7 Solutions

College Algebra & Trigonometry - Standalone book

Ch. 7.1 - In a right triangle, one leg measures 15 ft and...Ch. 7.1 - Prob. R.2PECh. 7.1 - Prob. 1PECh. 7.1 - For Exercises 1-2, refer to triangle ABC. 2. The...Ch. 7.1 - Prob. 3PECh. 7.1 - Prob. 4PECh. 7.1 - For Exercises 5-12, given right triangle ABC,...Ch. 7.1 - Prob. 6PECh. 7.1 - For Exercises 5-12, given right triangle ABC,...Ch. 7.1 - Prob. 8PE
Ch. 7.1 - Prob. 9PECh. 7.1 - Prob. 10PECh. 7.1 - Prob. 11PECh. 7.1 - Prob. 12PECh. 7.1 - Note: Due to round-off error, the answers to...Ch. 7.1 - Prob. 14PECh. 7.1 - Note: Due to round-off error, the answers to...Ch. 7.1 - Prob. 16PECh. 7.1 - Note: Due to round-off error, the answers to...Ch. 7.1 - Prob. 18PECh. 7.1 - A boat is anchored off Elliot Key, Florida. From...Ch. 7.1 - A swimming pool has a depth of 4 ft at the shallow...Ch. 7.1 - An airplane climbs at an angle of 11° at an...Ch. 7.1 - Prob. 22PECh. 7.1 - A railroad bridge over New Scotland Road in...Ch. 7.1 - At 11:30A.M. the angle of elevation of the sun for...Ch. 7.1 - Prob. 25PECh. 7.1 - Prob. 26PECh. 7.1 - A police officer hiding between two bushes 50 ft...Ch. 7.1 - A large weather balloon is tethered by two ropes....Ch. 7.1 - Prob. 29PECh. 7.1 - Prob. 30PECh. 7.1 - To approximate the distance from the Earth to...Ch. 7.1 - Prob. 32PECh. 7.1 - A sewer line must have a minimum slope of 0.25 in....Ch. 7.1 - In order for gravel roads to have proper drainage,...Ch. 7.1 - The weather satellite NOAA- 15 orbits the Earth...Ch. 7.1 - Prob. 36PECh. 7.1 - a. Find the bearing from O to A. (See Example 5)...Ch. 7.1 - Prob. 38PECh. 7.1 - Prob. 39PECh. 7.1 - Prob. 40PECh. 7.1 - Prob. 41PECh. 7.1 - Prob. 42PECh. 7.1 - For Exercises 43-46, find the bearing of the ship....Ch. 7.1 - Prob. 44PECh. 7.1 - Prob. 45PECh. 7.1 - For Exercises 43-46, find the bearing of the ship....Ch. 7.1 - Prob. 47PECh. 7.1 - Prob. 48PECh. 7.1 - For Exercises 47-50, find the bearing to the...Ch. 7.1 - For Exercises 47-50, find the bearing to the...Ch. 7.1 - Prob. 51PECh. 7.1 - For Exercises 51-54, round answers to the nearest...Ch. 7.1 - Prob. 53PECh. 7.1 - Prob. 54PECh. 7.1 - Prob. 55PECh. 7.1 - Prob. 56PECh. 7.1 - A boat leaves a dock at a bearing of N42°W and...Ch. 7.1 - Prob. 58PECh. 7.1 - Prob. 59PECh. 7.1 - For Exercises 59-60, find the lengths of the sides...Ch. 7.1 - Prob. 61PECh. 7.1 - Prob. 62PECh. 7.1 - Prob. 63PECh. 7.1 - Prob. 64PECh. 7.1 - Prob. 65PECh. 7.1 - Prob. 66PECh. 7.1 - Prob. 67PECh. 7.1 - Prob. 68PECh. 7.1 - An airplane needs to fly to an airfield located...Ch. 7.1 - Prob. 70PECh. 7.1 - Prob. 71PECh. 7.1 - Prob. 72PECh. 7.1 - Prob. 73PECh. 7.1 - Prob. 74PECh. 7.1 - A contractor building eight ocean-front...Ch. 7.1 - Prob. 76PECh. 7.1 - Prob. 77PECh. 7.1 - Prob. 78PECh. 7.1 - Prob. 79PECh. 7.1 - Prob. 80PECh. 7.2 - Use a calculator to approximate the value of sin-1...Ch. 7.2 - Prob. R.2PECh. 7.2 - Prob. 1PECh. 7.2 - Prob. 2PECh. 7.2 - Prob. 3PECh. 7.2 - Prob. 4PECh. 7.2 - Prob. 5PECh. 7.2 - Prob. 6PECh. 7.2 - Note: Due to round-off error, the answers to...Ch. 7.2 - Note: Due to round-off error, the answers to...Ch. 7.2 - Note: Due to round-off error, the answers to...Ch. 7.2 - Note: Due to round-off error, the answers to...Ch. 7.2 - Note: Due to round-off error, the answers to...Ch. 7.2 - Prob. 12PECh. 7.2 - For Exercises 13-20, solve ABC subject to the...Ch. 7.2 - Prob. 14PECh. 7.2 - Prob. 15PECh. 7.2 - Prob. 16PECh. 7.2 - For Exercises 13-20, solve ABC subject to the...Ch. 7.2 - Prob. 18PECh. 7.2 - Prob. 19PECh. 7.2 - Prob. 20PECh. 7.2 - For Exercises 21-28, information is given about...Ch. 7.2 - For Exercises 21-28, information is given about...Ch. 7.2 - For Exercises 21-28, information is given about...Ch. 7.2 - For Exercises 21-28, information is given about...Ch. 7.2 - Prob. 25PECh. 7.2 - Prob. 26PECh. 7.2 - For Exercises 21-28, information is given about...Ch. 7.2 - For Exercises 21-28, information is given about...Ch. 7.2 - For Exercises 29-34, find the area of a triangle...Ch. 7.2 - Prob. 30PECh. 7.2 - Prob. 31PECh. 7.2 - Prob. 32PECh. 7.2 - For Exercises 29-34, find the area of a triangle...Ch. 7.2 - Prob. 34PECh. 7.2 - The area in the Atlantic Ocean known as the...Ch. 7.2 - The triangular face of a gabled roof measures 33.8...Ch. 7.2 - Prob. 37PECh. 7.2 - A helicopter is on a path directly overhead line...Ch. 7.2 - Prob. 39PECh. 7.2 - Prob. 40PECh. 7.2 - Prob. 41PECh. 7.2 - Prob. 42PECh. 7.2 - A wire is fastened to a point T on a tree and to...Ch. 7.2 - The Leaning Tower of Suurhusen is a medieval...Ch. 7.2 - A 25-ft flag pole is oriented vertically at the...Ch. 7.2 - Prob. 46PECh. 7.2 - Two residential buildings are to be constructed...Ch. 7.2 - A hiker wants to estimate the height of a mountain...Ch. 7.2 - A surveyor fixes a 420-ft baseline between points...Ch. 7.2 - Prob. 50PECh. 7.2 - The connector rod from the piston to the...Ch. 7.2 - Prob. 52PECh. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - Prob. 54PECh. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - Prob. 56PECh. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - Prob. 60PECh. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - Prob. 62PECh. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - Prob. 64PECh. 7.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 7.2 - Prob. 66PECh. 7.2 - After a hurricane, a homeowner examines trees on...Ch. 7.2 - Prob. 68PECh. 7.2 - Consider a sector of a circle of radius 6 cm with...Ch. 7.2 - Prob. 70PECh. 7.2 - Prob. 71PECh. 7.2 - Prob. 72PECh. 7.2 - Prob. 73PECh. 7.2 - Prob. 74PECh. 7.2 - Prob. 75PECh. 7.2 - Prob. 76PECh. 7.2 - Prob. 77PECh. 7.2 - Use the law of sines in the form sinAsinB=ab to...Ch. 7.2 - Use the relationships ac=sinAsinC and bc=sinBsinC...Ch. 7.2 - Prob. 80PECh. 7.3 - Find the exact distance between the points (-7, 2)...Ch. 7.3 - Prob. R.2PECh. 7.3 - Prob. R.3PECh. 7.3 - Prob. 1PECh. 7.3 - Prob. 2PECh. 7.3 - Prob. 3PECh. 7.3 - Prob. 4PECh. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - Prob. 7PECh. 7.3 - Prob. 8PECh. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - Prob. 16PECh. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - Prob. 18PECh. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 7.3 - A boat leaves port and follows a course of N77°E...Ch. 7.3 - Prob. 24PECh. 7.3 - Two planes leave the same airport. The first plane...Ch. 7.3 - Two boats leave a marina at tile same time. The...Ch. 7.3 - A 40-ft boom on a crane is attached to the crane...Ch. 7.3 - Prob. 28PECh. 7.3 - A regulation fast-pitch softball diamond for high...Ch. 7.3 - The Flatiron Building in New York City is said to...Ch. 7.3 - The distance between Dallas, Texas, and Atlanta,...Ch. 7.3 - Prob. 32PECh. 7.3 - A 150-ft tower is anchored on a hill by two guy...Ch. 7.3 - Prob. 34PECh. 7.3 - In Exercises 35-38, use Heron’s formula to find...Ch. 7.3 - In Exercises 35-38, use Heron’s formula to find...Ch. 7.3 - Prob. 37PECh. 7.3 - Prob. 38PECh. 7.3 - Prob. 39PECh. 7.3 - Prob. 40PECh. 7.3 - Prob. 41PECh. 7.3 - Prob. 42PECh. 7.3 - Prob. 43PECh. 7.3 - Prob. 44PECh. 7.3 - Prob. 45PECh. 7.3 - Prob. 46PECh. 7.3 - Three mutually tangential circles with radii...Ch. 7.3 - Prob. 48PECh. 7.3 - Prob. 49PECh. 7.3 - Prob. 50PECh. 7.3 - Prob. 51PECh. 7.3 - Prob. 52PECh. 7.3 - Prob. 53PECh. 7.3 - Prob. 54PECh. 7.3 - Prob. 55PECh. 7.3 - Prob. 56PECh. 7.3 - Prob. 57PECh. 7.3 - Prob. 58PECh. 7.3 - Prob. 59PECh. 7.3 - Prob. 60PECh. 7.4 - Identify the amplitude and period. y = 2cos 4xCh. 7.4 - Prob. R.2PECh. 7.4 - Prob. R.3PECh. 7.4 - Prob. 1PECh. 7.4 - Prob. 2PECh. 7.4 - Prob. 3PECh. 7.4 - Prob. 4PECh. 7.4 - The frequency of middle C on a piano is 264 Hz....Ch. 7.4 - Prob. 6PECh. 7.4 - For Exercises 7-14, suppose that an object moves...Ch. 7.4 - Prob. 8PECh. 7.4 - For Exercises 7-14, suppose that an object moves...Ch. 7.4 - For Exercises 7-14, suppose that an object moves...Ch. 7.4 - For Exercises 7-14, suppose that an object moves...Ch. 7.4 - Prob. 12PECh. 7.4 - Prob. 13PECh. 7.4 - Prob. 14PECh. 7.4 - Prob. 15PECh. 7.4 - Prob. 16PECh. 7.4 - Prob. 17PECh. 7.4 - Prob. 18PECh. 7.4 - Prob. 19PECh. 7.4 - Prob. 20PECh. 7.4 - Prob. 21PECh. 7.4 - Prob. 22PECh. 7.4 - A block hangs 01) a spring attached to the ceiling...Ch. 7.4 - The bob on a simple pendulum is pulled to the left...Ch. 7.4 - A 7-in, connecting rod in an engine connects the...Ch. 7.4 - Prob. 26PECh. 7.4 - A Ferris wheel at a county Fair is 180 ft in...Ch. 7.4 - The 30-fl diameter waterwheel at Deleon Springs...Ch. 7.4 - Prob. 29PECh. 7.4 - Prob. 30PECh. 7.4 - Prob. 31PECh. 7.4 - Prob. 32PECh. 7.4 - The angular displacement 6 (in radians) of a...Ch. 7.4 - The angular displacement 6 (in radians) of a...Ch. 7.4 - The brightness of a “young” star sometimes...Ch. 7.4 - Prob. 36PECh. 7.4 - For Exercises 37-38, the ordered pair (t, d) gives...Ch. 7.4 - Prob. 38PECh. 7.4 - Write a function y=f(t) for simple harmonic motion...Ch. 7.4 - Write a function y=f(t) for simple harmonic motion...Ch. 7.4 - Use a graphing utility to graph the functions of...Ch. 7.4 - Show that the graph of d=aectcost is bounded by...Ch. 7.4 - Prob. 43PECh. 7.4 - Prob. 44PECh. 7.4 - Prob. 45PECh. 7.4 - Prob. 46PECh. 7.4 - Prob. 47PECh. 7.4 - Prob. 48PECh. 7.4 - Prob. 49PECh. 7.4 - Prob. 50PECh. 7.4 - Prob. 51PECh. 7.4 - Prob. 52PECh. 7.4 - Prob. 53PECh. 7.4 - Prob. 54PECh. 7.4 - Prob. 55PECh. 7.4 - Prob. 56PECh. 7.4 - Given the model d=20e0.6tcos2t , for an object in...Ch. 7.4 - Prob. 58PECh. 7 - For Exercises 1-12, solve ABC subject to the given...Ch. 7 - Prob. 2PRECh. 7 - Prob. 3PRECh. 7 - Prob. 4PRECh. 7 - Prob. 5PRECh. 7 - Prob. 6PRECh. 7 - Prob. 7PRECh. 7 - Prob. 8PRECh. 7 - Prob. 9PRECh. 7 - Prob. 10PRECh. 7 - Prob. 11PRECh. 7 - Prob. 12PRECh. 7 - Prob. 13PRECh. 7 - Prob. 14PRECh. 7 - Prob. 15PRECh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - For Exercises 21-22, find the area of a triangle...Ch. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Points A, B. and P are collinear points along a...Ch. 7 - Prob. 28RECh. 7 - For Exercises 29-32, solve ABC subject to the...Ch. 7 - For Exercises 29-32, solve ABC subject to the...Ch. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - A boat leaves a marina and travels due south for 1...Ch. 7 - Prob. 40RECh. 7 - Two sides of a triangular plot of land measure 510...Ch. 7 - A gardener digs out a space for a triangular...Ch. 7 - For Exercises 43-46, suppose that an object moves...Ch. 7 - For Exercises 43-46, suppose that an object moves...Ch. 7 - For Exercises 43-46, suppose that an object moves...Ch. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - A Ferris wheel is 200 ft in diameter with its...Ch. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - Prob. 21TCh. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - A block hangs on a spring attached to the ceiling...Ch. 7 - Prob. 25TCh. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 1CRECh. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Write an equation for a sine function with an...Ch. 7 - Write an equation for a tangent function with a...Ch. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Simplify to a single trigonometric function....Ch. 7 - Find the exact value of cos200cos50+sin200sin50Ch. 7 - Prob. 19CRECh. 7 - Prob. 20CRE
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How to apply the law of sines to find the remaining parts of a triangle; Author: Brian McLogan;https://www.youtube.com/watch?v=NdRF18HWkmE;License: Standard YouTube License, CC-BY