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WorksheetsUnit 5 Obj. 4&5 Review
Total questions: 13
Worksheet time: 42mins
Name
Class
Date
1.
Solve over the interval 0≤ x ≤ 2π
sin2x-cosx=0
a)
not possible
b)
π/6, π/2, 5π/6, 3π/2
c)
π/6, π/3,11π/6, 5π/3
d)
π/4, π/3, 5π/4, 4π/3
2.
Please solve on the interval 0≤θ≤2π
sin θ = 0
sin θ = 0
a)
θ={ 0, π/2, π, 3π/2, 2π }
b)
θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
c)
θ={ 0, π , 2π }
d)
θ={ π/3, 5π/3 }
5.
Please solve on the interval 0≤θ≤2π
2 sin 2 θ - 1 = 0
2 sin 2 θ - 1 = 0
a)
θ={ 0, π/2, π, 3π/2, 2π }
b)
θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
c)
θ={ 0, π , 2π }
d)
θ={ π/3, 5π/3 }
4.
Please solve on the interval 0≤θ≤2π
2 cos θ - 1 = 0
2 cos θ - 1 = 0
a)
θ={ 0, π/2, π, 3π/2, 2π }
b)
θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
c)
θ={ 0, π , 2π }
d)
θ={ π/3, 5π/3 }
5.
Please solve on the interval 0≤θ≤2π
2 sin 2 θ - 1 = 0
2 sin 2 θ - 1 = 0
a)
θ={ 0, π/2, π, 3π/2, 2π }
b)
θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
c)
θ={ 0, π , 2π }
d)
θ={ π/3, 5π/3 }
6.
Solve on the Interval [0,2π]
sin(x/3)=√3/2
a)
π and 2π
b)
π/9 and 2π/9
c)
π/2 and 3π/2
d)
π/18 and π/9
7.
Solve on the Interval [0,2π]
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
8.
Evaluate: cos-1(√3/2)
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
9.
a)
pi/2
b)
0
c)
3pi/2
d)
-3pi/2
10.
a)
pi/3
b)
pi/4
c)
-pi/4
d)
pi
11.
Evaluate: csc[cos-1(√3/2)]
a)
2
b)
-2
c)
2√3/3
d)
-2√3/3
12.
Evaluate the function: Tan[sin-1(-1/2)]
a)
√3
b)
√3/3
c)
-√3
d)
-√3/3
13.
Cos[sin-1(-4/5)]
a)
(5√41)/41
b)
-3/5
c)
3/5
d)
(5√41)/41
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