Worksheetstrigonometry
Total questions: 15
Worksheet time: 25mins
Name
Class
Date
1.
Find the exact value
a)
√3
b)
-√3
c)
1/2
d)
-1/2
2.
cosα cosβ + sinα sinβ =
a)
sin (α + β)
b)
sin (α - β)
c)
cos (α + β)
d)
cos (α - β)
3.
a)
tan (a + b)
b)
tan (a - b)
c)
cos (a + b)
d)
cos (a - b)
4.
cos40° cos20° - sin40° sin20° =
a)
sin (20°)
b)
1/2
c)
cos (20°)
d)
√3/2
5.
Without using a calculator, what is the exact value of
tan20⁰ cot 20⁰?
tan20⁰ cot 20⁰?
a)
1/2
b)
0
c)
1
d)
-1
6.
What is the reference angle of 300⁰?
a)
0⁰
b)
30⁰
c)
45⁰
d)
60⁰
7.
cos2u =
a)
2(sinu)(cosu)
b)
(cosu)^2 - (sinu)^2
c)
2(cosu)^2 - 2
d)
(sinu)^2 - (cosu)^2
8.
sin2u =
a)
(sinu)(cosu)
b)
2(sinu)(cosu)
c)
(sinu)^2
d)
2(sinu)^2
9.
Use the Half-angle formulas to find the exact value of each expression
sin 22.5º
sin 22.5º
a)
√(2 + √3)/2
b)
√(2 - √2)/2
c)
√(2 + √2)/2
d)
√(2 - √3)/2
10.
Use the Half-angle formulas to find the exact value of each expression
cos 165º
cos 165º
a)
-√(2+√3)/2
b)
-√(2-√3)/2
c)
√(2+√3)/2
d)
√(2-√3)/2
11.
evaluate tan75+tan15
a)
4
b)
12
c)
2
d)
1
12.
evaluate cos75*cos15
a)
4
b)
1/4
c)
3/4
13.
Find the exact value
a)
2 - √3
b)
2 + √3
c)
-2 - √3
d)
-2 + √3
14.
Please choose the correct sum and difference formula:
tan (α-β) =
tan (α-β) =
a)
(tan α + tan β) / (1 - tan α tan β)
b)
(tan α - tan β) / (1 + tan α tan β)
c)
(1 - tan α tan β) / (tan α + tan β)
d)
(1 - tan α tan β) / (tan α + tan β)
15.
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)
100 %
