Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
there is no triangle with these parts. ses: For Exercises 1-3, use the Law of Tangents to solve the triangle A ABC. 1. a = 12, b 8, C = 60° 2. A= 30°,b= 4 For Exergi

there is no triangle with these parts. ses: For Exercises 1-3, use the Law of Tangents to solve the triangle A ABC. 1. a = 12, b 8, C = 60° 2. A= 30°,b= 4 For Exergi

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
See similar textbooks
icon
Related questions
Question
32.5° 1.44 = 1.86 X the difference is far too large, so we conclude that there is no triangle with these parts. Exercises: For Exercises 1-3, use the Law of Tangents to solve the triangle A ABC. 1. a = 12, b 8, C = 60° 2. A 30°, b = 4, c= 6 3. a =7, B = 60°, c =9 For Exercises 4-6, check if it is possible for a triangle to have the given parts. 4. a = 5, b =7, c3 10, A = 27.7°, B = 40.5°, C 111.8° 5. a = 3, b =7, c=9, A = 19.2°, B = 68.2°, C = 92.6° 6. a =6, b=9, c =9, A = 39°, B = 70.5°, C =70.5° 7. Let A ABC be a right triangle with C = 90°. Show that tan A - B) =5 a+5 8. For any triangle A ABC, show that tan (A - B)= cot C. a sin B 9. For any triangle AABC, show that tan A = - (Hint: Draw the altitude from the vertex C- a cos B C to AB.) Notice that this formula provides another way of solving a triangle in Case 3 (two sides and the included angle). 10. For any triangle A ABC, show that e= b cos A +a cos B. This is another check of a triangle. 12. Let ABCD be a quadrilateral which completely contains its two diagonals. The quadrilateral no 11. If b cos A =a cos B, show that the triangle AABC is isosceles. would has eight parts: four sides and four angles. What is the smallest number of parts that need to know to solve the quadrilateral? Explain your answer. Shot on Y12 WIDE Vivo Al camera
Transcribed Image Text:32.5° 1.44 = 1.86 X the difference is far too large, so we conclude that there is no triangle with these parts. Exercises: For Exercises 1-3, use the Law of Tangents to solve the triangle A ABC. 1. a = 12, b 8, C = 60° 2. A 30°, b = 4, c= 6 3. a =7, B = 60°, c =9 For Exercises 4-6, check if it is possible for a triangle to have the given parts. 4. a = 5, b =7, c3 10, A = 27.7°, B = 40.5°, C 111.8° 5. a = 3, b =7, c=9, A = 19.2°, B = 68.2°, C = 92.6° 6. a =6, b=9, c =9, A = 39°, B = 70.5°, C =70.5° 7. Let A ABC be a right triangle with C = 90°. Show that tan A - B) =5 a+5 8. For any triangle A ABC, show that tan (A - B)= cot C. a sin B 9. For any triangle AABC, show that tan A = - (Hint: Draw the altitude from the vertex C- a cos B C to AB.) Notice that this formula provides another way of solving a triangle in Case 3 (two sides and the included angle). 10. For any triangle A ABC, show that e= b cos A +a cos B. This is another check of a triangle. 12. Let ABCD be a quadrilateral which completely contains its two diagonals. The quadrilateral no 11. If b cos A =a cos B, show that the triangle AABC is isosceles. would has eight parts: four sides and four angles. What is the smallest number of parts that need to know to solve the quadrilateral? Explain your answer. Shot on Y12 WIDE Vivo Al camera
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Pythagoras' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS