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
Find a positive angle and a negative angle that is coterminal to
. Do not use the given angle.
A positive angle less than
that is coterminal to
is
.
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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