WorksheetsSechrist Sum/Difference Trig Identities
Total questions: 10
Worksheet time: 30mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
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)
3.
Use Sum or Difference Identities to find the exact value of each expression.
cos(75°)
cos(75°)
a)
1/4
b)
√6/4 - √2 / 4
c)
√6 + √2 / 4
d)
-√6/4 - √2 / 4
4.
sin 105º
a)
√3/2
b)
-1/4(√2 + √6)
c)
1/4 (√2 + √6)
d)
2-√3
5.
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)
6.
Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?
a solution to
sin θ = √(3) / 2 ?
a)
π / 3
b)
2π / 3
c)
5π / 3
d)
7π / 3
7.
Please choose the correct sum and difference formula:
cos (α-β) =
cos (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
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
100 %
