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WorksheetsPrecalc Ch 6 Trig Eq (2018)
Total questions: 20
Worksheet time: 35mins
Name
Class
Date
1.
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
2.
Solve
cos2θ = ½
on θ∈[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
3.
a)
No solution
b)
π/3 +2πn, 5π/3 +2πn
c)
π/6 +2πn, 11π/6 +2πn
d)
2π/3 +2πn, 4π/3 +2πn
4.
Solve sinθ = ½ on θ∈[0, 2π)
a)
θ = π / 6, 7π / 6
b)
θ = π / 6, 5π / 6
c)
θ = 5π / 6, 7π / 6
d)
θ = 7π / 6, 11π / 6
5.
Which of these is NOT
a solution to
tan θ = 0 ?
a solution to
tan θ = 0 ?
a)
θ = 0
b)
θ = π /2
c)
θ = π
d)
θ = 2π
6.
Solve
2cos2θ -1=0
on θ∈[0, 2π)
2cos2θ -1=0
on θ∈[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
7.
Solve on the domain [0,2π)
cos x + 1 = 0
cos x + 1 = 0
a)
0
b)
No solution
c)
π
d)
3π/2
8.
Solve on the domain [0,2π)
1/4sin x + 1= 0
1/4sin x + 1= 0
a)
0
b)
7π/4
c)
5π/4
d)
No solution
9.
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
10.
Solve on the domain [0, 2π)
1/2sec x - 1 = 0
1/2sec x - 1 = 0
a)
π/6, 5π/6
b)
π/3, 5π/3
c)
2π/3, 4π/3
d)
7π/6, 11π/6
11.
TRUE or FALSE:
sin(2x) = 2sin(x)
sin(2x) = 2sin(x)
a)
TRUE
b)
FALSE
12.
NO CALC
Solve: tan(x) + 1 = 0 for x ε [0, 2π)
Solve: tan(x) + 1 = 0 for x ε [0, 2π)
a)
x = π/4, x = 5π/4
b)
x = π/4, x = 3π/4
c)
x = π/2
d)
x = 3π/4, x = 7π/4
13.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
14.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
15.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
16.
Simplify
a)
secθ
b)
cos²θ
c)
sin²θ
d)
sin²θ/cos²θ
17.
Simplify this to a basic trigonometry function:
tan(x)csc(x)
tan(x)csc(x)
a)
tanx
b)
secx
c)
cotx
d)
cscx
18.
Simplify: tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
5π∕6 + 2πn, 7π/6 + 2πn
b)
π/3 + 2πn, 2π/3 + 2πn
c)
5π/12 +πn, 7π/12 +πn
d)
2π/3 +πn, 4π/3 +πn
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