
Trigonometric Equations General Solutions cvu2023
Authored by Cecilia VUONG
Mathematics
11th Grade
Used 2+ times

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9 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the equation 2sin(2x) - 1 = 0 for x in the interval [0, π].
π/6, 5π/6
π/12, 5π/12
π/3, 5π/3
π/3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the equation 2cos(2x) = 1 for x in the interval [0, 2π].
x = π/3, 5π/3
x = π/6, 5π/6
x = π/6, 11π/6
x = π/4, 7π/4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the equation 2cos(2x) = 1 for x in the interval [0, 2π].
x = π/3, 5π/3
x = π/6, 5π/6
x = π/6, 11π/6
x = π/4, 7π/4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the general solution for sin(x) = 0.5
π/6, 5π/6
2n+ π/6, (2n+1) - π/6
where n ∈ Z
2n - π/6, (2n+1) + π/6
where n ∈ Z
2nπ ± π/6
where n ∈ Z
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the equation tan(2x) = -√3 for x in the interval [0, 2π].
-π/3, 2π/3
π/3, 4π/3
2π/6, 5π/6
3π/4, 7π/4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine the general solution of the equation tan(x) = √3.
x = π/3 + nπ
x = π/6 + nπ
x = π/2 + nπ
x = π/4 + nπ
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the equation tan(x) = -1 for x in the interval [0, 2π].
x = 3π/4, 7π/4
x = π/2, 3π/2
x = π/3, 4π/3
x = π/4, 5π/4
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