1 The Six Trigonometric Functions 2 Right Triangle Trigonometry 3 Radian Measure 4 Graphing And Inverse Functions 5 Identities And Formulas 6 Equations 7 Triangles 8 Complex Numbers And Polarcoordinates A Appendix: Review Topics Chapter1: The Six Trigonometric Functions
1.1 Angles, Degrees, And Special Triangles 1.2 The Rectangular Coordinate System 1.3 Definition I: Trigonometric Functions 1.4 Introduction To Identities 1.5 More On Identities Chapter Questions Section1.1: Angles, Degrees, And Special Triangles
Problem 1PS Problem 2PS: For Questions 1 through 7, fill in each blank with the appropriate word or number. Two angles with a... Problem 3PS: For Questions 1 through 7, fill in each blank with the appropriate word or number. In any triangle,... Problem 4PS: For Questions 1 through 7, fill in each blank with the appropriate word or number. In a right... Problem 5PS Problem 6PS: For Questions 1 through 7, fill in each blank with the appropriate word or number. In a 306090... Problem 7PS: For Questions 1 through 7, fill in each blank with the appropriate word or number. In a 454590... Problem 8PS: Match each term with the appropriate angle measure. a. Right. i. 090 b. Straight ii. =90 c. Acute... Problem 9PS: Indicate which of the angles below are acute angles and which are obtuse angles. Then give the... Problem 10PS: Indicate which of the angles below are acute angles and which are obtuse angles. Then give the... Problem 11PS: Indicate which of the angles below are acute angles and which are obtuse angles. Then give the... Problem 12PS: Indicate which of the angles below are acute angles and which are obtuse angles. Then give the... Problem 13PS: Indicate which of the angles below are acute angles and which are obtuse angles. Then give the... Problem 14PS: Indicate which of the angles below are acute angles and which are obtuse angles. Then give the... Problem 15PS: Indicate which of the angles below are acute angles and which are obtuse angles. Then give the... Problem 16PS Problem 17PS: Problems 17 through 22 refer to Figure 19. (Remember: The sum of the three angles in any triangle is... Problem 18PS: Problems 17 through 22 refer to Figure 19. (Remember: The sum of the three angles in any triangle is... Problem 19PS: Problems 17 through 22 refer to Figure 19. (Remember: The sum of the three angles in any triangle is... Problem 20PS: Problems 17 through 22 refer to Figure 19. (Remember: The sum of the three angles in any triangle is... Problem 21PS: Problems 17 through 22 refer to Figure 19. (Remember: The sum of the three angles in any triangle is... Problem 22PS: Problems 17 through 22 refer to Figure 19. (Remember: The sum of the three angles in any triangle is... Problem 23PS: Figure 20 shows a walkway with a handrail. Angle is the angle between the walkway and the... Problem 24PS: Figure 20 shows a walkway with a handrail. Angle is the angle between the walkway and the... Problem 25PS: Figure 20 shows a walkway with a handrail. Angle is the angle between the walkway and the... Problem 26PS: Figure 20 shows a walkway with a handrail. Angle is the angle between the walkway and the... Problem 27PS Problem 28PS Problem 29PS: Geometry An isosceles triangle is a triangle in which two sides are equal in length. The angle... Problem 30PS Problem 31PS: Problems 31 through 36 refer to right triangle ABC with C=90. If a=4 and b=3, find c. Problem 32PS: Problems 31 through 36 refer to right triangle ABC with C=90. If a=2 and c=10, find b. Problem 33PS: Problems 31 through 36 refer to right triangle ABC with C=90. If a=8 and c=17, find b. Problem 34PS Problem 35PS Problem 36PS Problem 37PS: Solve for x in each of the following right triangles: Problem 38PS Problem 39PS: Solve for x in each of the following right triangles: Problem 40PS: Solve for x in each of the following right triangles: Problem 41PS: Solve for x in each of the following right triangles: Problem 42PS: Solve for x in each of the following right triangles: Problem 43PS: Problems 43 and 44 refer to Figure 21. Figure 21 Find AB if BC=4,BD=5, and AD=2. Problem 44PS: Problems 43 and 44 refer to Figure 21. Figure 21 Find BD if BC=5 , AB=13, and AD=4. Problem 45PS: Problems 45 and 46 refer to Figure 22, which shows a circle with center at C and a radius of r, and... Problem 46PS: Problems 45 and 46 refer to Figure 22, which shows a circle with center at C and a radius of r, and... Problem 47PS: Pythagorean Theorem The roof of a house is to extend up 13.5 feet above the ceiling, which is 36... Problem 48PS: Surveying A surveyor is attempting to find the distance across a pond. From a point on one side of... Problem 49PS: Find the remaining sides of a 306090 triangle if the shortest side is 1. Problem 50PS: Find the remaining sides of a 306090 triangle if the shortest side is 4 Problem 51PS Problem 52PS: Find the remaining sides of a 306090 triangle if the longest side is 5 Problem 53PS: Find the remaining sides of a 306090 triangle if the side opposite 60 is 6 Problem 54PS Problem 55PS: Escalator An escalator in a department store is to carry people a vertical distance of 20 feet... Problem 56PS: Escalator What is the length of the escalator in Problem 55 if it makes an angle of 60 with the... Problem 57PS Problem 58PS: Problems 57 and 58 refer to the two-person tent shown in Figure 25. Assume the tent has a floor and... Problem 59PS: Find the remaining sides of a 454590 triangle if the shorter sides are each 45 Problem 60PS Problem 61PS: Find the remaining sides of a 454590 triangle if the longest side is 82 Problem 62PS Problem 63PS Problem 64PS: Find the remaining sides of a 454590 triangle if the longest side is 12 Problem 65PS: Distance a Bullet Travels A bullet is tired into the air at an angle of 45. How far does it travel... Problem 66PS: Time a Bullet Travels If the bullet in Problem 65 is traveling at 2,828 feet per second, how long... Problem 67PS Problem 68PS Problem 69PS: Geometry: Characteristics of a Cube The object shown in Figure 27 is a cube (all edges are equal in... Problem 70PS: Geometry: Characteristics of Cube The object shown in Figure 27 is a cube (all edges are equal in... Problem 71PS Problem 72PS: Geometry: Characteristics of a Cube The object shown in Figure 27 is a cube (all edges are equal in... Problem 73PS: The Spiral of Roots The introduction to this chapter shows the Spiral of Roots. The following three... Problem 74PS: The Golden Ratio Rectangle ACEF (Figure 31) is a golden rectangle. It is constructed from square... Problem 75PS: Compute the complement and supplement of 61. a. Complement = -61, supplement = 119 b. Complement =... Problem 76PS Problem 77PS Problem 78PS: An escalator in a department store makes an angle of 45 with the ground. How long is the escalator... Problem 16PS
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all interior angles of a triangle must be less than or equal to 90 degrees
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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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