Problem 1AYP: Write the formula for the distance d from P 1 =( x 1 , y 1 ) to P 2 =( x 2 , y 2 ) . (p. 4) Problem 2AYP: If is an acute angle, solve the equation cos= 2 2 .(pp.472—475) Problem 3CV: If three sides of a triangle are given, the Law of ________ is used to solve the triangle. Problem 4CV: If one side and two angles of a triangle are given, which law can be used to solve the triangle? a.... Problem 5CV: If two sides and the included angle of a triangle are given, which law can be used to solve the... Problem 6CV: True or False Given only the three sides of a triangle. there is insufficient information to solve... Problem 7CV: True or False The Law of Cosines states that the square of one side of a triangle equals the sum of... Problem 8CV: True or False A special case of the Law of Cosines is the Pythagorean Theorem. Problem 9SB: In Problems 9-16, solve each triangle. Problem 10SB: In Problems 9-16, solve each triangle. Problem 11SB: In Problems 9-16, solve each triangle. Problem 12SB: In Problems 9-16, solve each triangle. Problem 13SB: In Problems 9-16, solve each triangle. Problem 14SB: In Problems 9-16, solve each triangle. Problem 15SB: In Problems 9-16, solve each triangle. Problem 16SB: In Problems 9-16, solve each triangle. Problem 17SB: In Problems 17-32, solve each triangle. a=3 , b=4 , c =40 Problem 18SB: In Problems 17-32, solve each triangle. a=2 , c=1 , B =10 Problem 19SB: In Problems 17-32, solve each triangle. b=1 , c=3 , A =80 Problem 20SB: In Problems 17-32, solve each triangle. a=6 , b=4 , C =60 Problem 21SB: In Problems 17-32, solve each triangle. a=3 , c=2 , B =110 Problem 22SB: In Problems 17-32, solve each triangle. b=4 , c=1 , A =120 Problem 23SB: In Problems 17-32, solve each triangle. a=2 , b=2 , C =50 Problem 24SB: In Problems 17-32, solve each triangle. a=3 , c=2 , B =90 Problem 25SB: In Problems 17-32, solve each triangle. a=12 , b=13 , c=5 Problem 26SB: In Problems 17-32, solve each triangle. a=4 , b=5 , c=3 Problem 27SB: In Problems 17-32, solve each triangle. a=2 , b=2 , c=2 Problem 28SB: In Problems 17-32, solve each triangle. a=3 , b=3 , c=2 Problem 29SB: In Problems 17-32, solve each triangle. a=5 , b=8 , c=9 Problem 30SB: In Problems 17-32, solve each triangle. a=4 , b=3 , c=6 Problem 31SB: In Problems 17-32, solve each triangle. a=10 , b=8 , c=5 Problem 32SB: In Problems 17-32, solve each triangle. a=9 , b=7 , c=10 Problem 33MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. B =20 ,... Problem 34MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. A =50 ,... Problem 35MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. a=6 ,... Problem 36MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. a=14 ,... Problem 37MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. B =35 ,... Problem 38MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. a=4 ,... Problem 39MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. A =10 ,... Problem 40MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. A =65 ,... Problem 41MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. b=5 ,... Problem 42MP: In Problems 33-42, solve each triangle using either the Law of Sines or the Law of Cosines. a=10 ,... Problem 43AE: Distance to the Green A golfer hits an errant tee shot that lands in the rough. A marker in the... Problem 44AE: Navigation An airplane flies due north from Ft. Myers to Sarasota, a distance of 150 miles, and then... Problem 45AE: Avoiding a Tropical Storm A cruise ship maintains an average speed of 15 knots in going from San... Problem 46AE: Revising a Flight Plan In attempting to fly from Chicago to Louisville, a distance of 330 miles, a... Problem 47AE: Major League Baseball Field A major league baseball diamond is actually a square 90 feet on a side.... Problem 48AE: Little League Baseball Field According to Little League baseball official regulations, the diamond... Problem 49AE: Finding the Length of a Guy Wire The height of a radi tower is 500 feet, and the ground on one side... Problem 50AE: Finding the Length of a Guy Wire A radio tower 500 feet high is located on the side of a hill with... Problem 51AE: Identifying Remains The Purkait triangle, located at the proximal end of the femur, has been used to... Problem 52AE: Identifying Remains Like the Purkait triangle in Problem 51, the metric triangle is located at the... Problem 53AE: Soccer Angles A soccer goal is 8 yards wide. Suppose a goalie is standing on her line in the center... Problem 54AE Problem 55AE: Wrigley Field, Home of the Chicago Cubs The distance from home plate to the fence in dead center in... Problem 56AE: Little League Baseball The distance from home plate to the fence in dead center at the Oak Lawn... Problem 57AE: Building a Swing Set Clint is building a wooden swing set for his children. Each supporting end of... Problem 58AE: Rods and Pistons Rod OA rotates about the fixed point O so that point A travels on a circle of... Problem 59AE: Geometry Show that the length d of a chord of a circle of radius r is given by the formula d=2rsin ... Problem 60AE Problem 61AE: For any triangle, show that sin c 2 = ( sa )( sb ) ab where s= 1 2 ( a+b+c ) Problem 62AE: Use the law of Cosines to prove the identity cosA a + cosB a + cosC a = a 2 + b 2 + c 2 2abc Problem 63DW: What do you do first if you are asked to solve a triangle and are given two sides and the included... Problem 64DW: What do you do first if you are asked to solve a triangle and are given three sides? Problem 65DW: Make up an applied problem that requires using the Law of Cosines. Problem 66DW: Write down your strategy for solving an oblique triangle. Problem 67DW: State the Law of Cosines in words. Problem 68RYK: Graph: R( x )= 2x+1 x3 Problem 69RYK: Solve 4 x =3 x+1 . If the solution is irrational, express it both in exact form and as a decimal... Problem 70RYK: Given tan= 2 6 5 and cos= 5 7 , find the exact value of each of the four remaining trigonometric... Problem 71RYK: Find an equation for the graph. format_list_bulleted