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WorksheetsUnit 2 Assessment Solving Trig equations
Total questions: 11
Worksheet time: 33mins
Name
Class
Date
1.
Solve the equation below. Find ALL solutions
13tanθ−13=04 lines
2.
Inverse Cosine is restricted to what quadrants?
a)
Q1 and Q3
b)
Q1 and Q4
c)
Q1 and Q2
d)
No restrictions
3.
Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?
a solution to
sin θ = √(3) / 2 ?
a)
π / 3
b)
2π / 3
c)
5π / 3
d)
7π / 3
4.
Solve sinθ = -1 on the domain [0, 2π)
a)
θ = π /2, 3π /2
b)
θ = π /2
c)
θ = 3π /2
d)
θ = π
5.
Solve on the domain [0, 2π)
4sin2x = 3
4sin2x = 3
a)
π/6, 11π/6
b)
π/3, 2π/3
c)
π/6, 5π/6, 7π/6, 11π/6
d)
π/3, 2π/3, 4π/3, 5π/3
6.
sin-1(-1/2)
a)
π/3
b)
π/6
c)
5π/6
d)
-π/6
7.
cos-1(0) =
a)
π/2
b)
π
c)
1
d)
none of these
8.
Solve
cos2θ = ½
over the domain [0, 2π)
a)
θ = π /4, 7π /4
b)
θ = π /4, 3π /4
c)
θ = 3π /4, 5π /4
d)
θ = π /4, 3π /4, 5π /4, 7π /4
9.
Solve on the Interval [0,2π)
tan(x)+1=2
tan(x)+1=2
a)
0 and π
b)
3π/4 and 7π/4
c)
π/4 and 5π/4
d)
3π/4 and 5π/4
10.
Which of these is equivalent to 2cos2x − 3cosx = 0 ?
a)
-cos2x = 0
b)
cosx(2cosx + 3) = 0
c)
cosx(2cosx − 3) = 0
d)
cos x = ⅔
11.
Which is a correct way to solve the equation
cosx(2cosx − 3) = 0?
a)
divide cos x from both sides
b)
set each factor equal to 0 and solve
c)
distribute cosx into the parentheses
d)
guess and hope for the best
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