Solution and Answer Guide: Larson, Trigonometry: A Right Triangle Approach, 2e, 2027, 9798214407906;
Chapter 01: Right Triangle Trigonometry
Solution and Answer Guide
LARSON, TRIGONOMETRY: A RIGHT TRIANGLE APPROACH, 2E, 2027, 9798214407906;
CHAPTER 01: RIGHT TRIANGLE TRIGONOMETRY
TABLE OF CONTENTS
Section 1.1 Angles, Degree Measure, and Special Triangles ............................................. 2
Section 1.2 Similar Triangles ..............................................................................................18
Section 1.3 Trigonometric Functions: Right Triangle Ratios........................................... 24
Section 1.4 Solving Right Triangles ................................................................................... 38
Review Exercises for Chapter 1 ......................................................................................... 48
Problem Solving for Chapter 1 ............................................................................................61
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 1
accessible website, in whole or in part.
, Solution and Answer Guide: Larson, Trigonometry: A Right Triangle Approach, 2e, 2027, 9798214407906;
Chapter 01: Right Triangle Trigonometry
SECTION 1.1 ANGLES, DEGREE MEASURE, AND SPECIAL
TRIANGLES
1.1.1.
angle
1.1.2.
degree
1.1.3.
quadrantal
1.1.4.
acute; obtuse
1.1.5.
hypotenuse; legs
1.1.6.
minute; second
1.1.7.
You can add or subtract 360° or a multiple of 360°
1.1.8.
The sum of two complementary angles is 90° The sum of two supplementary
angles is 180°
1.1.9.
A scalene triangle has no equal sides. An isosceles triangle has two equal
sides. An equilateral triangle has three equal sides.
1.1.10.
An acute triangle has three acute angles. Obtuse and right triangles have
exactly two acute angles.
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 2
accessible website, in whole or in part.
, Solution and Answer Guide: Larson, Trigonometry: A Right Triangle Approach, 2e, 2027, 9798214407906;
Chapter 01: Right Triangle Trigonometry
1.1.11.
(a)
Not a quadrantal angle
Angle lies in Quadrant I.
(b)
Not a quadrantal angle
Angle lies in Quadrant II.
1.1.12.
(a)
Yes, this is a quadrantal angle.
(b)
Not a quadrantal angle
Angle lies in Quadrant III.
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 3
accessible website, in whole or in part.
, Solution and Answer Guide: Larson, Trigonometry: A Right Triangle Approach, 2e, 2027, 9798214407906;
Chapter 01: Right Triangle Trigonometry
1.1.13.
(a)
Not a quadrantal angle
Angle lies in Quadrant I.
(b)
Yes, this is a quadrantal angle.
1.1.14.
(a)
Not a quadrantal angle
Angle lies in Quadrant IV.
(b)
Yes, this is a quadrantal angle.
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 4
accessible website, in whole or in part.
Chapter 01: Right Triangle Trigonometry
Solution and Answer Guide
LARSON, TRIGONOMETRY: A RIGHT TRIANGLE APPROACH, 2E, 2027, 9798214407906;
CHAPTER 01: RIGHT TRIANGLE TRIGONOMETRY
TABLE OF CONTENTS
Section 1.1 Angles, Degree Measure, and Special Triangles ............................................. 2
Section 1.2 Similar Triangles ..............................................................................................18
Section 1.3 Trigonometric Functions: Right Triangle Ratios........................................... 24
Section 1.4 Solving Right Triangles ................................................................................... 38
Review Exercises for Chapter 1 ......................................................................................... 48
Problem Solving for Chapter 1 ............................................................................................61
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 1
accessible website, in whole or in part.
, Solution and Answer Guide: Larson, Trigonometry: A Right Triangle Approach, 2e, 2027, 9798214407906;
Chapter 01: Right Triangle Trigonometry
SECTION 1.1 ANGLES, DEGREE MEASURE, AND SPECIAL
TRIANGLES
1.1.1.
angle
1.1.2.
degree
1.1.3.
quadrantal
1.1.4.
acute; obtuse
1.1.5.
hypotenuse; legs
1.1.6.
minute; second
1.1.7.
You can add or subtract 360° or a multiple of 360°
1.1.8.
The sum of two complementary angles is 90° The sum of two supplementary
angles is 180°
1.1.9.
A scalene triangle has no equal sides. An isosceles triangle has two equal
sides. An equilateral triangle has three equal sides.
1.1.10.
An acute triangle has three acute angles. Obtuse and right triangles have
exactly two acute angles.
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 2
accessible website, in whole or in part.
, Solution and Answer Guide: Larson, Trigonometry: A Right Triangle Approach, 2e, 2027, 9798214407906;
Chapter 01: Right Triangle Trigonometry
1.1.11.
(a)
Not a quadrantal angle
Angle lies in Quadrant I.
(b)
Not a quadrantal angle
Angle lies in Quadrant II.
1.1.12.
(a)
Yes, this is a quadrantal angle.
(b)
Not a quadrantal angle
Angle lies in Quadrant III.
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 3
accessible website, in whole or in part.
, Solution and Answer Guide: Larson, Trigonometry: A Right Triangle Approach, 2e, 2027, 9798214407906;
Chapter 01: Right Triangle Trigonometry
1.1.13.
(a)
Not a quadrantal angle
Angle lies in Quadrant I.
(b)
Yes, this is a quadrantal angle.
1.1.14.
(a)
Not a quadrantal angle
Angle lies in Quadrant IV.
(b)
Yes, this is a quadrantal angle.
© 2027 Cengage Learning, Inc. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly 4
accessible website, in whole or in part.
