Worksheets4-6 and 4-7 Sum and Difference Formulas Trig
Total questions: 16
Worksheet time: 1hrs 5mins
Name
Class
Date
1.
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)
2.
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
3.
Find the exact value.
cos (265 - 25) =
cos (265 - 25) =
a)
53/12
b)
-√(3)/2
c)
-1/2
d)
√(3)/2
4.
Find the exact value.
cos (5π/18 - π/9)
cos (5π/18 - π/9)
a)
√(3)/2
b)
1/4
c)
1/2
d)
1
5.
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)
6.
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)
7.
Find the exact value.
cos (265 - 25) =
cos (265 - 25) =
a)
53/12
b)
-√(3)/2
c)
-1/2
d)
√(3)/2
8.
Given sin α = -3/5, cos α = -4/5 and cos β = (2√5)/5, sin β = (-√5)/5
Please find the sum or difference:
cos (α+β)=
Please find the sum or difference:
cos (α+β)=
a)
(-11√5)/25
b)
(-2√5)/25
c)
(√2-√6)/4
d)
2
9.
Given sin α = -3/5, cos α = -4/5 and cos β = (2√5)/5, sin β = (-√5)/5
Please find the sum or difference:
sin (α-β)=
Please find the sum or difference:
sin (α-β)=
a)
0
b)
(-10√5)/25
c)
(√2-√6)/4
d)
(√8)/4
10.
Simplify
sin(x+π)
sin(x+π)
a)
-1
b)
csc(x)
c)
sin(x)
d)
-sin(x)
11.
Use Sum or Difference Identities to find the exact value of
sin(π/12)
sin(π/12)
a)
(-√(2)-√(6))/2
b)
(√(6)-√(2))/4
c)
(√(2)+√(3))/4
d)
(-√(6)+√(2))/4
12.
Use Sum or Difference Identities to find the exact value of each expression.
cos(75°)
cos(75°)
a)
1/4
b)
( √(6) - √(2) ) / 4
c)
(√(6) + √(2)) / 4
d)
(-√(6) - √(2)) / 4
13.
solve
cos(π/3)cos(2π/3)-sin(π/3)cos(2π/3)
cos(π/3)cos(2π/3)-sin(π/3)cos(2π/3)
a)
1
b)
(-1+√(3)) / 4
c)
1/2
d)
-1/2
14.
Find the exact value.
cos (5π/18 - π/9)
cos (5π/18 - π/9)
a)
√(3)/2
b)
1/4
c)
1/2
d)
1
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)
16.
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
100 %
