4. Calculate c using the measured lengths of the legs a and b from step 3, and the Pythagorean Theorem. From equation (8-1) 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 0 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. 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? %3D %3D %3D 4. At what angle does (a) sin(e) = 0, (b) cos(0) = 0, (c) tan(0) = 0? %3D %3D 5. Which trigonometric function has values greater than one for angles greater then 45°?
4. Calculate c using the measured lengths of the legs a and b from step 3, and the Pythagorean Theorem. From equation (8-1) 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 0 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. 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? %3D %3D %3D 4. At what angle does (a) sin(e) = 0, (b) cos(0) = 0, (c) tan(0) = 0? %3D %3D 5. Which trigonometric function has values greater than one for angles greater then 45°?
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°.
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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)
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 0 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.
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?
%3D
%3D
%3D
4. At what angle does (a) sin(e) = 0, (b) cos(0) = 0, (c) tan(0) = 0?
%3D
%3D
5. Which trigonometric function has values greater than one for angles greater then 45°?
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