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Equations with Trig Functions II (2526100)
Current Score:
0/14
Due:
Thu Jul 12 2012 12:00 PM CDT
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Question
0/14
Points
1.
Total
0/1 points
SwokPreCalc12 6.2.011. [1781467]
-
SwokPreCalc12 6.2.013. [1779773]
-
SwokPreCalc12 6.2.016. [1780249]
-
Find all solutions of the equation.
10 cos 2θ − 5
3 =0
θ=
π
11π
+ 2πn,
+ 2πn for n = 0, ±1, ±2,
12
12
θ=
7π
5π
+ 2πn,
+ 2πn for n = 0, ±1, ±2,
12
12
θ=
7π + πn, 5π + πn for n = 0, ±1, ±2,
12
12
π
11π
+ πn,
+ πn for n = 0, ±1, ±2,
12
12
θ=
no solution
2.
0/1 points
Find all solutions of the equation.
4
1
3 tan t = 4
3
t=
π + 3πn for n = 0, ±1, ±2,
2
t=
3π
+ 2πn for n = 0, ±1, ±2,
2
t=
3π
+ 3πn for n = 0, ±1, ±2,
2
t=
π + 2πn for n = 0, ±1, ±2,
2
no solution
3.
0/1 points
Find all solutions of the equation.
cos x − π
5
x=
= −1
π
+ 2πn for n = 0, ±1, ±2,
6
x=
6π
+ 2πn for n = 0, ±1, ±2,
5
x=
5π + 2πn for n = 0, ±1, ±2,
6
x=
π + 2πn for n = 0, ±1, ±2,
5
no solution
4.
0/1 points
SwokPreCalc12 6.2.017. [1780407]
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?o=20120... 7/10/2012
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Page 2 of 4
-
Find all solutions of the equation.
7 sin 2x −
x=
π
3
= 7
2
π
7π
+ πn,
+ πn for n = 0, ±1, ±2,
4
12
x=
π + πn, 5π + πn for n = 0, ±1, ±2,
4
12
x=
3π + 2πn, 7π + πn for n = 0, ±1, ±2,
4
12
x=
π
5π
+ πn,
+ 2πn for n = 0, ±1, ±2,
4
12
no solution
5.
0/1 points
SwokPreCalc12 6.2.024. [2107873]
-
SwokPreCalc12 6.2.031. [1781132]
-
SwokPreCalc12 6.2.035. [1780869]
-
Find all solutions of the equation.
6(sin t − 1)cos t = 0
t=
2π
+ πn for n = 0, ±1, ±2,
3
t=
π + 2πn for n = 0, ±1, ±2,
2
t=
t=
π
+ πn for n = 0, ±1, ±2,
2
3π
+ 2πn for n = 0, ±1, ±2,
2
no solution
6.
0/1 points
Find all solutions of the equation.
(2 sin θ − 1)(2 cos θ + 3) = 0
θ=
7π + 2πn, 11π + 2πn for n = 0, ±1, ±2,
6
6
θ=
7π + 2πn, 5π + 2πn for n = 0, ±1, ±2,
6
6
θ=
π
11π
+ 2πn,
+ 2πn for n = 0, ±1, ±2,
6
6
θ=
π
5π
+ 2πn,
+ 2πn for n = 0, ±1, ±2,
6
6
no solution
7.
0/1 points
Find all solutions of the equation.
sin 2x csc 2x −
2
3
3
=0
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?o=20120... 7/10/2012
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x=
Page 3 of 4
7π + πn, 11π + πn for n = 0, ±1, ±2,
12
12
x=
π
π
+ πn,
+ πn for n = 0, ±1, ±2,
6
3
x=
2π
5π
+ πn,
+ πn for n = 0, ±1, ±2,
3
6
x=
π + πn, 3π + πn for n = 0, ±1, ±2,
8
8
no solution
8.
0/1 points
SwokPreCalc12 6.2.038. [1779855]
-
SwokPreCalc12 6.2.043. [1780308]
-
Find all solutions of the equation.
2
− tan α + tan α = 0
α = πn, π + πn for n = 0, ±1, ±2,
3
α = πn, 3π + πn for n = 0, ±1, ±2,
4
α = πn, π + πn for n = 0, ±1, ±2,
4
α = πn, 5π + πn for n = 0, ±1, ±2,
6
no solution
9.
0/1 points
Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is
no solution, enter NO SOLUTION.)
cos 2x −
π
10
=0
x=
10.
0/1 points
SwokPreCalc12 6.2.045. [1780768]
-
Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is
no solution, enter NO SOLUTION.)
9 − 36 cos2 t = 0
t=
11.
0/1 points
SwokPreCalc12 6.2.048. [1781465]
-
Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is
no solution, enter NO SOLUTION.)
cot2 θ − cot θ = 0
θ=
12.
0/1 points
SwokPreCalc12 6.2.051. [1781089]
-
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?o=20120... 7/10/2012
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Page 4 of 4
Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is
no solution, enter NO SOLUTION.)
tan2 x sin x = 3 sin x
x=
13.
0/1 points
SwokPreCalc12 6.2.055. [1781046]
-
Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is
no solution, enter NO SOLUTION.)
4 cos2 γ + 2 cos γ = 0
γ=
14.
0/1 points
SwokPreCalc12 6.2.068. [1779946]
-
Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is
no solution, enter NO SOLUTION.)
5
sec θ = 16 sec θ
θ=
Assignment Details
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?o=20120... 7/10/2012