
Solving Trig Equations
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Solve on the domain [0, 2π)
1/2sec x - 1 = 0
π/6, 5π/6
π/3, 5π/3
2π/3, 4π/3
7π/6, 11π/6
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Solve on the domain [0, 2π)
cos2 x + sin x + 1 = 0
π
3π/2
π/6, 5π/6, 3π/2
No solution
Tags
CCSS.HSF.TF.B.7
3.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Solve on the domain [0, 2π)
cos x + 2 = 3 cos x
0, 2π/3, 4π/3
π
0
No solution
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Solve on the domain [0,2π)
1/4sin x + 1= 0
0
7π/4
5π/4
No solution
Tags
CCSS.HSF.TF.B.7
5.
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
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is a correct way to solve the equation
cosx(2cosx − 3) = 0?
divide cos x from both sides
set each factor equal to 0 and solve
distribute cosx into the parentheses
guess and hope for the best
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
To solve this equation, cos2x + sinx = 1, replace cos2x with
1/(sec2x)
sin2x − 1
1 − sin2x
1 + tan2x
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