WorksheetsTrigonometric Idenitites
Total questions: 18
Worksheet time: 32mins
Name
Class
Date
1.
Determine the value of sin θ based on the right-angled triangle.
Tentukan nilai sin θ dalam segi tiga bersudut tegak
a)
43
b)
53
c)
54
d)
34
2.
Determine the value of cos θ based on the right-angled triangle.
Tentukan nilai kos θ dalam segi tiga bersudut tegak.
a)
43
b)
53
c)
54
d)
34
3.
1 + tan2(β)
a)
cos2(β)
b)
-cos2(β)
c)
-sec2(β)
d)
sec2(β)
4.
sec2(x) - tan2(x)
a)
tan(x)
b)
1
c)
-sin(x)
d)
-1
5.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
6.
cotθ=
a)
1/cosθ
b)
1/cscθ
c)
1/secθ
d)
1/tanθ
7.
*
a)
csc2 x
b)
sec2 x
c)
cot2 x
d)
tan2 x
8.
Rewrite tan(x) in terms of sin(x) and cos(x).
a)
tan(x) = cos(x)/sin(x)
b)
tan(x) = 1/cot(x)
c)
tan(x) = sin(x)/cos(x)
d)
tan(x) = opp/adj
9.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
10.
csc(90⁰-θ) =
a)
secθ
b)
sinθ
c)
cosθ
d)
tanθ
11.
sin(90⁰-θ) =
a)
cosθ
b)
cscθ
c)
secθ
d)
tanθ
12.
Simplify: csc x sin x
a)
tan x
b)
1
c)
sec x
d)
cos x
13.
a)
-1
b)
sin θ
c)
csc θ
d)
1
14.
-(sin²x + cos²x)
a)
-1
b)
1
c)
-2
d)
2
15.
Which of the following is NOT
a solution to
tan θ = 0 ?
a)
θ = 0
b)
θ = π /2
c)
θ = π
d)
θ = 2π
16.
Solve on the domain [0,2π)
cos x + 1 = 0
cos x + 1 = 0
a)
0
b)
No solution
c)
π
d)
3π/2
17.
Which of the following is a solution of the equation
√3 sec θ = 2
a)
-π/3
b)
π/6
c)
π/4
d)
π
18.
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
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