WorksheetsTrigonometry: Evaluate, Simplify, Verify, and Solve
Total questions: 16
Worksheet time: 36mins
Name
Class
Date
1.
What is the range of f(x)= cos-1x ?
a)
[0, 2π)
b)
[-π/2, π/2 ]
c)
[0, π]
d)
[π/2, 3π/2 ]
2.
sin-1(cosπ)
a)
0
b)
π
c)
π/2
d)
-π/2
3.
What is the range of f(x)= sin-1x ?
a)
[0, 2π)
b)
[-π/2, π/2 ]
c)
[0, π]
d)
[π/2, 3π/2 ]
4.
What is the range of f(x)= tan-1x ?
a)
[0, 2π)
b)
[-π/2, π/2 ]
c)
[0, π]
d)
(-π/2, π/2)
5.
cos-1(√3/2) =
a)
π/3
b)
2π/3
c)
π/6
d)
5π/6
6.
a)
3π/4
b)
π/4
c)
5π/4
d)
-π/4
7.
What is tan[sin-1(1)]?
a)
undefined
b)
0
c)
½
d)
1
8.
a)
csc²θ
b)
sec²θ
c)
cscθ
d)
1
9.
a)
sinθ
b)
cot²θ
c)
tan²θ
d)
cos²θ
10.
Simplify the trig expression.
a)
1
b)
-tanx
c)
-1
d)
tanx
11.
Simplify the trig expression.
a)
secx
b)
cotx
c)
sec2x
d)
tan2x
12.
a)
A
b)
B
c)
C
d)
D
13.
Solve for 0≤x≤2π
sinxtanx = sinx
a)
π/2, 3π/2
b)
3π/4, 7π/4
c)
0, π, 2π
d)
π/4, 5π/4
14.
Solve for 0≤x≤2π
3sin2x + sinx - 4 = 0
a)
0, π
b)
π/2
c)
π/6, 5π/6
d)
3π/2
15.
Solve for 0≤x≤2π
2sin2x = cosx + 1
a)
π/3, 5π/3
b)
π/3, 2π/3
c)
0, 2π
d)
π
16.
if cos (47)= y, then sin (43)=
a)
-y
b)
y
c)
x/y
100 %
