WorksheetsTRIGONOMETRY
Total questions: 15
Worksheet time: 19mins
Name
Class
Date
1.
a)
-1
b)
sec θ
c)
- csc θ
d)
- sec θ
2.
Please choose the correct sum and difference formula:
sin (α-β) =
sin (α-β) =
a)
sin α cos β + cos α sin β
b)
sin α cos β - cos α sin β
c)
cos α cos β - sin α sin β
d)
cos α cos β + sin α sin β
3.
Write the following expression as the sine, cosine, or tangent of an angle.
cos(175)cos(55)+sin(175)sin(55)
cos(175)cos(55)+sin(175)sin(55)
a)
sin(120)
b)
cos(120)
c)
cos(230)
d)
sin(230)
4.
Find the exact value of the expression.
cos(20)cos(40) - sin(20)sin(40)
cos(20)cos(40) - sin(20)sin(40)
a)
1/4
b)
1/2
c)
√(3)/2
d)
√(3)
5.
If the point (-2, 5) is on the terminal side of an angle in standard position, find the cosine of that angle.
a)
-5/2
b)
-2/5
c)
5√(29)/29
d)
-2√(29)/29
6.
Find the exact value of the expression.
sin(5π/12)cos(π/4) - cos(5π/12)sin(π/4)
sin(5π/12)cos(π/4) - cos(5π/12)sin(π/4)
a)
1/2
b)
-1/2
c)
-√(2)/2
d)
√(3)/2
7.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
8.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?
against a building 5 feet away. What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building. What is the angle of elevation?
9.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
10.
Which is not a version of the double angle formula for cosines?
a)
cos2(x)-sin2(x)
b)
2cos2x-1
c)
cos2x+sin2x
d)
1-2sin2(x)
11.
Simpilfy the expression.
a)
√3
b)
√3 ∕ 2
c)
1
1 ∕ 2
1 ∕ 2
d)
√2 ∕ 2
12.
Simlify the expression assuming that 20x=π
a)
1
b)
2
c)
-1
d)
-2
13.
Write the following expression as the sine, cosine, or tangent of an angle.
a)
sec50⁰
b)
csc50⁰
c)
cos50⁰
d)
sin50⁰
14.
Rewrite the expression above in terms of 'p' assuming that sin 63 = p
a)
2p
b)
√2p
c)
-√2p
d)
2√2p
15.
Find the exact value of the expression cos 80⁰+cos 20⁰+√3.cos130⁰ .
a)
0
b)
2√3cos50
c)
sin40⁰
d)
2
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