Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
1. On a clean piece of paper neatly draw a large right triangle ABC with the vertex of its right gle at point C. Make certain all sides are drawn straight and that all sides meet at the corners of the angle. Label the two non-right angles with vertices at points A and B as 0 and y respectively. Label the ht angle 2. Label the leg opposite 0 as a and the leg opposite y as b. Label the hypotenuse as c. 2. Measure the angles 0, y and 2. Determine the sum of these angles and compare with the dard value of 180° by calculating the percent error. Record the results in Table 8-1. 3. Measure and record in Table 8-2 the lengths a, b, and c.

1. On a clean piece of paper neatly draw a large right triangle ABC with the vertex of its right gle at point C. Make certain all sides are drawn straight and that all sides meet at the corners of the angle. Label the two non-right angles with vertices at points A and B as 0 and y respectively. Label the ht angle 2. Label the leg opposite 0 as a and the leg opposite y as b. Label the hypotenuse as c. 2. Measure the angles 0, y and 2. Determine the sum of these angles and compare with the dard value of 180° by calculating the percent error. Record the results in Table 8-1. 3. Measure and record in Table 8-2 the lengths a, b, and c.

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
I need help with this lab procedure
EXBEBIMERTE The sum of the angles of any triangle is 180°. Since in a right triangle one of the angles is 90°, then the sum of the remaining two angles must be 90". In right triangle ABC in Figure 8-1 the vertex of angle e is at point A. The leg a that the angle 0 faces is called its opposite leg. The leg b that forms one side of the angle 0 is called its adjacemt leg. The angle y with its vertex at point B has legs b and a as its opposite and adjacent legs respectively. Three trigonometric functions are called the sine (sin), cosine (cos) and tangent (tan) functions. For the angle 0 they are defined as follows: sin(0) = Opposite Leg a (8-2) Hypotenuse Adjacent Leg Hypotenuse cos(0) = 1osRT bnu naia (8-3) da to she tahnul ad) bnc sleus e otgo (8-4) Opposite Leg Adjacent Leg tan(0) = %3D b For the angle y, Toune af saurstequd si lo une sd sin(y) = b/c, cos(y) = a/c, tan(y) = b/a. Procedure 1. On a clean piece of paper neatly draw a large right triangle ABC with the vertex of its right angle at point C. Make certain all sides are drawn straight and that all sides meet at the corners of the triangle. Label the two non-right angles with vertices at points A and B as 0 and y respectively. Label the right angle .. Label the leg opposite 0 as a and the leg opposite y as b. Label the hypotenuse as c. 2. Measure the angles 0, y and 2. Determine the sum of these angles and compare with the standard value of 180° by calculating the percent error. Record the results in Table 8-1. 3. Measure and record in Table 8-2 the lengths a, b, and c. 58
Transcribed Image Text:EXBEBIMERTE The sum of the angles of any triangle is 180°. Since in a right triangle one of the angles is 90°, then the sum of the remaining two angles must be 90". In right triangle ABC in Figure 8-1 the vertex of angle e is at point A. The leg a that the angle 0 faces is called its opposite leg. The leg b that forms one side of the angle 0 is called its adjacemt leg. The angle y with its vertex at point B has legs b and a as its opposite and adjacent legs respectively. Three trigonometric functions are called the sine (sin), cosine (cos) and tangent (tan) functions. For the angle 0 they are defined as follows: sin(0) = Opposite Leg a (8-2) Hypotenuse Adjacent Leg Hypotenuse cos(0) = 1osRT bnu naia (8-3) da to she tahnul ad) bnc sleus e otgo (8-4) Opposite Leg Adjacent Leg tan(0) = %3D b For the angle y, Toune af saurstequd si lo une sd sin(y) = b/c, cos(y) = a/c, tan(y) = b/a. Procedure 1. On a clean piece of paper neatly draw a large right triangle ABC with the vertex of its right angle at point C. Make certain all sides are drawn straight and that all sides meet at the corners of the triangle. Label the two non-right angles with vertices at points A and B as 0 and y respectively. Label the right angle .. Label the leg opposite 0 as a and the leg opposite y as b. Label the hypotenuse as c. 2. Measure the angles 0, y and 2. Determine the sum of these angles and compare with the standard value of 180° by calculating the percent error. Record the results in Table 8-1. 3. Measure and record in Table 8-2 the lengths a, b, and c. 58
4. Calculate c using the measured lengths of the legs a and b from step 3, and the Pythagorean Theorem. From equation (8-1) c = V a? + b?. Calculate the percent error in this calculated value for c. Use the measured value from step 3 as the standard value. Record your result in Table 8-2. 5. Calculate sin(0), cos(0), tan(0), sin(y), cos(y) and tan(y) from the angles e and y measured in step 2 and record in Table 8-3. 6. Calculate and record in Table 8-3, sin(0), cos(0), tan(0), sin(y), cos(y) and tan(y) from the measured lengths of sides a, b and c from step 3 and the definitions of the trigonometric functions. 7. Compare the experimental results from step 6 with those from step 5 by calculating the percent error of each result in step 6. Use the values calculated from the angles in step 5 as the standard values. Record your results in Table 8-3. Thorem lated Questions 1. If you drew a right triangle with legs exactly half the length of those in triangle ABC, what values do you think you would get for the trigonometric functions for this triangle? 2. A certain right triangle has one angle equal to 53.1° and its are legs equal to 6.0 m and 8.0 m. (a) What is the other non-right angle? (b) What is the length of the hypotenuse? 3. At what angles does (a) sin(0) = 1, (b) cos(0) = 1, (c) tan(0) = 1? 4. At what angle does (a) sin(0) = 0, (b) cos(0) = 0, (c) tan(0) = 0? Voccror 5. Which trigonometric function has values greater than one for angles greater then 45? 59
Transcribed Image Text:4. Calculate c using the measured lengths of the legs a and b from step 3, and the Pythagorean Theorem. From equation (8-1) c = V a? + b?. Calculate the percent error in this calculated value for c. Use the measured value from step 3 as the standard value. Record your result in Table 8-2. 5. Calculate sin(0), cos(0), tan(0), sin(y), cos(y) and tan(y) from the angles e and y measured in step 2 and record in Table 8-3. 6. Calculate and record in Table 8-3, sin(0), cos(0), tan(0), sin(y), cos(y) and tan(y) from the measured lengths of sides a, b and c from step 3 and the definitions of the trigonometric functions. 7. Compare the experimental results from step 6 with those from step 5 by calculating the percent error of each result in step 6. Use the values calculated from the angles in step 5 as the standard values. Record your results in Table 8-3. Thorem lated Questions 1. If you drew a right triangle with legs exactly half the length of those in triangle ABC, what values do you think you would get for the trigonometric functions for this triangle? 2. A certain right triangle has one angle equal to 53.1° and its are legs equal to 6.0 m and 8.0 m. (a) What is the other non-right angle? (b) What is the length of the hypotenuse? 3. At what angles does (a) sin(0) = 1, (b) cos(0) = 1, (c) tan(0) = 1? 4. At what angle does (a) sin(0) = 0, (b) cos(0) = 0, (c) tan(0) = 0? Voccror 5. Which trigonometric function has values greater than one for angles greater then 45? 59
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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