Analytical Geometry
Mapping on Arcgis
December 22, 2019Geography And Food
December 22, 2019Analytical Geometry
Analytical Geometry
Analytic Geometry A ‐ Accelerated Week 3
Lesson 2.1 Introduction to Right Triangle Trigonometry
Lesson 2.2 Sine Ratio
Lesson 2.3 Cosine Ratio
Lesson 2.4 Tangent Ratio
Lesson 2.5 Review
Lesson 2.6 Inverse Trigonometric Ratios
Lesson 2.7 Solve Right Triangles
Lesson 2.8 Solve Right Triangles in Applied Problems
Before working the problems, study the lesson listed above each problem set. Record the answers on the answer sheet. Turn in the answer sheet to be graded. For some problem sets, answer boxes are given. Choices may be used more than once if necessary.
Lesson 2.1 Introduction to Right Triangle Trigonometry
True or False. Choose ‘A’ for True or ‘B’ for False.
1. The word “trigonometry” comes from the Greek words that mean “triangle measurement.”
2. The study of trigonometry did not begin until long after the beginning of the Christian era.
3. The longest side of any right triangle is the hypotenuse.
4. A right triangle contains one right angle and two acute angles.
5. The hypotenuse of a right triangle can be opposite an acute angle of a triangle.
6. The legs of a right triangle form the right angle.
Analytic Geometry A Accelerated Week 3 Page 36 of 51
Multiple Choice.
Use the given triangle to answer problems 7‐11.
A
C B
7. Which of the following is the side opposite of A ?
A) AB B) BC C) AC D) B 8. Which of the following is the side opposite of B ? A) AC B) BC C) AB D) B 9. Which of the following is the hypotenuse?
A) AC B) BC C) AB D) C
10. Which of the following is the side adjacent to A ?
A) AB B) AC C) BC D) B
11. Which of the following is the side adjacent to B ?
A) AB B) AC C) BC D) A
Lesson 2.2 Sine Ratio
A
C B
12. What is the sine ratio for A ?
A) BC AC
B) BC AB
C) AC AB
D) AB BC
13. What is the sine ratio for B ?
A) BC AC
B) BC AB
C) AC AB
D) AB BC
Analytic Geometry A Accelerated Week 3 Page 37 of 51
Find the indicated trigonometric ratio. Write each answer as a fraction in simplest form.
14. sin R 16. sin R
15. sin S 17. sin S
18. sin R 20. sin R
19. sin S 21. sin S
Choices for 14‐21
A) 24 26
B) 44
125 C)
20 21
D) 12 13
E) 28 53
AB) 10 24
AC) 20 29
AD) 125 117
AE) 45 53
BC) 21 20
BD) 5
13 BE)
44 117
CD) 21 29
CE) 28 45
DE) 117 125
ABC) 90
106
