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Multiple Angle Formulas (2526104)
Current Score:
0/31
Due:
Wed Jul 25 2012 12:00 PM CDT
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Question
0/31
Points
1.
Total
0/3 points
SwokPreCalc12 6.4.001. [1780923]
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SwokPreCalc12 6.4.002. [1781475]
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LarTrig7 2.5.001. [976552]
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Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of θ.
cos θ = 4 ;
5
0° < θ < 90°
sin 2θ =
cos 2θ =
tan 2θ =
2.
0/3 points
Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of θ.
cot θ = 3 ;
4
180° < θ < 270°
sin 2θ =
cos 2θ =
tan 2θ =
3.
0/8 points
Use the figure to find the exact value of each trigonometric function.
(a) cot(2θ)
(b) sin(θ)
(c) sin(2θ)
(d) csc(2θ)
(e) cos(2θ)
(f) tan(2θ)
(g) cos(θ)
(h) sec(2θ)
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4.
Page 2 of 3
0/1 points
SwokPreCalc12 6.4.005. [1779663]
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LarTrig7 2.5.024. [976797]
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SwokPreCalc12 6.4.031. [1780702]
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LarTrig7 2.5.026. [976760]
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SwokPreCalc12 6.4.043. [1780860]
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If tan α = 5 and α is acute, find the exact value of sin 2α.
5.
0/3 points
Find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas.
cos(u) = −
5
7
,
π
2
<u<π
sin(2u) =
cos(2u) =
tan(2u) =
6.
0/1 points
Determine whether the equation is an identity.
csc 2θ = 1 sec θ csc θ
2
Yes
No
7.
0/3 points
Find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas.
cot(u) = -6,
3π
2
< u < 2π
sin(2u) =
cos(2u) =
tan(2u) =
8.
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.)
sin 2t − sin t = 0
t=
9.
0/1 points
SwokPreCalc12 6.4.045. [1781193]
-
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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 2u − cos u = 0
u=
10.
0/1 points
SwokPreCalc12 6.4.047. [1780171]
-
Find the solutions of the equation that are in the interval [0, π/2). (Enter your answers as a comma-separated list. If there is
no solution, enter NO SOLUTION.)
tan 6x = tan 3x
x=
11.
0/3 points
SwokPreCalc12 6.4.501.XP. [1780555]
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SwokPreCalc12 6.4.502.XP. [1780073]
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Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of θ.
sec θ = −3;
90° < θ < 180°
sin 2θ =
cos 2θ =
tan 2θ =
12.
0/3 points
Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of θ.
sin θ = − 3 ;
5
270° < θ < 360°
sin 2θ =
cos 2θ =
tan 2θ =
Assignment Details
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