write Slope: D.B
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°.
Related questions
Question
Hello, based on the pics I attached Can you help me solve part 6 only
Transcribed Image Text:4. Continue to increase the angle of incidence while observing the change to the reflected
internal reflection. Record the angle of incidence which is called critical angle.
ray. At certain point the ray will disappear. The reflection at this point is called total
5. Continue to increase the angle of incidence to 50,70, 80°. Record in the table the
values of angle of reflection and refraction.
Repeat steps 1-5 for the first quadrant (right upper corner). Record your date in the table.
Slope:
CALCULATIONS:
1. Calculate the sin(0₁), sin(8₂) and sin(8₂).
2. Plot a graph of sin(0₂) vs. sin(9.) (Table 1). Don't forget to label your axes and write
their units,
3. Determine the slope of the graph and calculate the water refraction index.
4. Compare your water refraction index with the standard value of 1.333. Calculate the
percent difference.
5. On the same graph plot the sin(0) vs. sin(0) from Table 2.
6. Discuss the two graphs. How are they different?
Table 1 (water-air)
0₁ incidence
20
30
40
45
48
50
70
80
8₂0reflection
20
25
35
५०
40
45
0.3791 = (1.112)
D.8991
65
70
0, 0refraction
25
40
60
70
=
sin(0₁)
0.3420
0.5
06427
0.7071
10.7431
80
90
0.7660
90
10.9397
90 10.9848
sin(0₂)
0-3420
0.4626
0.5736
0-6427
10.6427
10-7071
0-9063
0-9397
Plot a graph of sin(03) vs. sin(0₁) (Table 1). Don't forget to label your axes and
write their units.
sin(0₂)
0.4226
0.6427
0.8660
10.9397
0.9848
|
1
Determine the slope of the graph and calculate the water refraction index.
m=11-0.4226
0.5774-0.8991
0.9848-0.3426
0.6422
Compare your value with the standard value for water refraction index of 1.333
using the percent difference formula.
% difference.
Table 2 (air-water)
0₁ incidence
20
30
40
45
1.333-1-112 x 100 = (16-58%)
1-333
8₂0eflection
25
50
60
70
80
35
50
55
60
70
75
90
0, 0refraction
15
25
30
35
35
40
so
65
sin(8,)
0.3420
0-5
0-6427
0.7071
10-7660
D. 8660
0.9397
10.9848
sin(8₂)
0.4226
0.5736
LD. 7660
0. 8192
0-8660
10.9397
10.9657
0.1
On the same graph plot sin(03) vs. sin(0₁) from Table 2.
Discuss the two graphs. How are they different?
sin(0₁)
0.2588
10.4226
10. 5736
0.5736
10.6427
10.7660
10.9063
Transcribed Image Text:Sin (03)
6.9+
0.8
63
0.2
05
Q.6
0.5
0.4
0.3
OL
10.S
Sin cont
12
Free Multi-Width Graph Paper from http /incompetech.com/graphpaper/multiwidth/
Expert Solution
Step 1: introduction
To calculate the sine (
) values for angles ranging from 20 degrees to 80 degrees at intervals of 10 degrees in between, you can use the following approach:
- Start with an initial angle of 20 degrees.
- Increment the angle by 10 degrees in each step until you reach 80 degrees.
- Calculate the sine () of each angle using a calculator or software.
These are the approximate values for the specified angles.
Step by step
Solved in 3 steps with 10 images
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