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Solving Trigonometric Equations Algebraically
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered
Used 4+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the solution over the interval [0, 2π)
0, π, π/6, 5π/6,
0, π/6, 7π/6
π, 5π/6, 11π/6
π, π/6, 5π/6, 7π/6, 11π/6
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of these is equivalent to 2cos2x − 3cosx = 0 ?
-cos2x = 0
cosx(2cosx + 3) = 0
cosx(2cosx − 3) = 0
cos x = ⅔
Tags
CCSS.HSF.TF.B.7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Why doesn't 2cosx − 3 = 0 have solutions?
cosx is never bigger than one
cosx is never equal to a fraction
Actually, this equation does have a solution, x = π
This equation will have a solution tomorrow.
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Solve for 0≤x≤2π
2cos2x = cosx + 1
2π/3, 4π/3
π/3, 2π/3
0, 2π
π
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Solve for 0≤x≤2π
2cos2x + 3cosx = -1
0, 2π
π
2π/3, 4π/3
π/3, 5π/3
Tags
CCSS.HSF.TF.B.7
6.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Solve for 0≤x≤2π
6sin2x - sinx - 1 = 0
3.48, 5.94
0.33, 2.81
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve [0,2π] 4cos2x - 7cosx - 2 = 0
1.82, 4.46
1.23, 3.87
2.07, 5.73
no solution
Tags
CCSS.HSF.TF.B.7
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