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Trigonometric Ratios and Special Triangles

Total questions: 20

Worksheet time: 47mins

Name
Class
Date
1.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
2.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
3.
a)
18/30
b)
24/30
c)
18/24
d)
24/18
4.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
5.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
6.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
7.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
8.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
9.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
10.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
11.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
12.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
13.
What is the value of x?
a)
12√2
b)
2√12
c)
24
d)
2
14.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
15.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
16.
Find y. 
a)
10
b)
3
c)
6
d)
5
17.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
18.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
19.
Find x.
a)
45°
b)
90°
c)
30°
d)
60°
20.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2