WorksheetsAP Calculus - Pythagorean, SOHCAHTOA, and Inverses Review
Total questions: 47
Worksheet time: 3hrs 8mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
3.
a)
A
b)
B
c)
C
d)
D
4.
What equation can be used to solve for x?
a)
Sin(40°)= x/40
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
5.
Find each angle measure to the nearest degree.
a)
39
b)
37
c)
41
d)
40
6.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
7.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
8.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
9.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
10.
Find the missing side
a)
11
b)
61
c)
61
d)
11
11.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
12.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
13.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
14.
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
a)
6
b)
6.7
c)
3
d)
15.7
e)
None of them
15.
Sides a and b are called legs.
a)
true
b)
false
16.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
17.
Which equation can be used to solve for "x"?
a)
152 – x2 = 212
b)
x2 – 152 = 212
c)
152 + 212 = x2
d)
212 – 152 = x2
18.
Name the longest side of a right triangle.
a)
leg a
b)
leg b
c)
leg
d)
hypotenuse
19.
Determine the length of the missing side.
a)
7
b)
8
c)
17
d)
23
20.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
21.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
22.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
23.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
24.
What leg is considered the hypotenuse?
a)
Any side
b)
the side opposite the smallest angle
c)
the side opposite the right angle
d)
the side opposite the shortest leg
25.
What can you find with trig ratios?
a)
Missing sides
b)
missing angles
c)
area of a triangle
d)
missing sides, angles and area of a triangle
26.
What type of triangles do you use the trig ratios with?
a)
any type
b)
right triangle
c)
obtuse triangle
d)
acute triangle
27.
What does SOH stand for
a)
hypotenuse over opposite
b)
adjacent over opposite
opposite over adjacent
opposite over adjacent
c)
opposite over hypotenuse
d)
adjacent over adjacent
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
35.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
36.
Find the inverse of
f(x) = 1/4x - 7
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
37.
Find the inverse of the function
f(x) = 3x − 5
f(x) = 3x − 5
a)
f-1(x)=3x +5
b)
f-1(x)=(x+5)/3
c)
f-1(x)=3y-5
d)
f-1(x)=3y+5
38.
If f(x)=x+5, what is f-1(x)?
a)
f(x)=(x + 5)2
b)
f(x)=x - 5
c)
f(x)=(x + 5)-1
d)
undefined
39.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
40.
Find the inverse of f(x)=3x+2
a)
f−1(x)=3x−2
b)
f−1(x)=2x−3
c)
f−1(x)=23x
d)
f−1(x)=32+x
41.
Find the inverse of f(x) = 3x +8
a)
f-1(x) = 3(x-8)
b)
f-1(x) = (8x-1)/3
c)
f-1(x) = (x-8)/3
d)
f-1(x) = (x+8)/3
42.
What is the inverse of the function
f(x) = 2x + 4 ?
f(x) = 2x + 4 ?
a)
f-1(x) = 4(x -2)
b)
f-1(x) = (x-4)/2
c)
f-1(x) = x/2 - 4
d)
f-1(x) = x/4 + 2
43.
What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)
a)
(1, 2) (3, 8) (-3, 6)
b)
(1, 2) (8, 3) (-3, 6)
c)
(-1, -2) (-3, -8) (3, -6)
d)
(2, 1) (8, 3) (6, -3)
44.
What is the inverse of the function f(x)=4-2x
a)
f⁻¹(x) = 2x-½
b)
f⁻¹(x) = 2x+½
c)
f⁻¹(x) = 2+½x
d)
f⁻¹(x) = 2-½x
45.
When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
a)
solve for y
b)
replace y with f-1(x)
c)
solve for x
d)
find the greatest common factor
46.
Find the inverse of f(x)=4x−9
a)
f−1(x)=41x+49
b)
f−1(x)=−41x+49
c)
f−1(x)=41x−49
d)
f−1(x)=4x+36
47.
a)
b)
c)
d)
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