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Sum and Difference Formulas II (2526103)
Current Score:
Question
0/31
Due:
Fri Jul 20 2012 12:00 PM CDT
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0/1 0/1 0/2 0/2 0/1 0/1 0/1 0/1 0/1 0/1 0/3 0/3 0/3 0/6 0/1 0/1 0/1 0/1
0/31
Points
1.
Total
0/1 points
Use an addition or subtraction formula to find the solutions of the equation that are in th
answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
sin 9t cos 6t = sin 6t cos 9t
t=
2.
0/1 points
Use an addition or subtraction formula to find the solutions of the equation that are in th
answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cos 6t cos 3t = −sin 6t sin 3t
t=
3.
0/2 points
Find the exact values.
4.
(a)
tan 30° + tan 225°
(b)
tan 255° (use 255° = 30° + 225°)
0/2 points
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Find the exact values.
5.
5π
π
− tan
4
6
(a)
tan
(b)
tan 13π
12
use 13π = 5π − π
12
4
6
0/1 points
Find the exact value of this trigonometric function.
tan 195°
6.
0/1 points
tan 75° = tan 30° + tan 45°.
true
false
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7.
Page 3 of 6
0/1 points
Find the exact value of this expression.
1
-1
0
8.
0/1 points
Use the given conditions to find the exact value of the expression.
π
sin α = − 5 , tan α > 0, sin α −
13
3
9.
0/1 points
Use the given conditions to find the exact value of the expression.
cos α = 24 ,
25
sin α < 0,
cos α +
11π
6
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10.
Page 4 of 6
0/1 points
Use the given conditions to find the exact value of the expression.
cot x = −
11.
3 , cos x < 0,
tan x −
π
6
0/3 points
If α and β are acute angles such that cos α = 8 and tan β = 4 , find the following.
17
3
(a)
sin(α + β)
77/85
(b)
cos(α + β)
-36/85
(c) the quadrant containing α + β
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
12.
0/3 points
If α and β are acute angles such that csc α = 17 and cot β = 3 , find the following.
15
4
(a)
sin(α + β)
77/85
(b)
tan(α + β)
-77/36
(c) The quadrant containing α + β is ---Select---
13.
II .
0/3 points
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If sin α = − 4 and sec β = 5 for a third-quadrant angle α and a first-quadrant angle β,
5
3
(a)
sin(α + β)
-24/25
(b)
tan(α + β)
-24/7
(c) the quadrant containing α + β
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
14.
0/6 points
If tan α = − 4 and cot β = 35 for a second-quadrant angle α and a third-quadrant ang
3
12
(a)
sin(α + β)
-104/185
(b)
cos(α + β)
153/185
(c)
tan(α + β)
-104/153
(d)
sin(α − β)
-176/185
(e)
cos(α − β)
57/185
(f)
tan(α − β)
-176/57
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15.
Page 6 of 6
0/1 points
Is the reduction formula correct?
tan(9π − θ) = tan θ
Yes
No
16.
0/1 points
Is the reduction formula correct?
tan θ + 11π
4
= −cot θ
Yes
No
17.
0/1 points
Determine if the identity is correct.
tan u + 3 π = −1 + tan u
4
1 + tan u
Yes
No
18.
0/1 points
Use an addition or subtraction formula to find the solutions of the equation that are in th
answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
tan 4t − tan 7t = 1 + tan 7t tan 4t
t=
Assignment Details
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?l=201207... 7/18/2012