Sum & Difference Identities and the Values Chart
Rewrite each expression in terms of only. To do this, apply the sum or difference identities to
each expression, substitute known values from the values chart, and simplify.
Expression
Apply Identity and Substitute
Simplify
e
j
2
2
sin cos
cos sin
cos
sin
Ex: sin
4
4
2
2
4
2
2
2
2
a
f
1.
sin
30
e j
2.
cos
2
a
f
3.
sin 60
a
f
4.
cos 60
a
f
5.
sin
45
e j
6.
cos
4
e
j
7.
sin
6
a
f
8.
sin 45
a
f
9.
cos 45
e
j
10. sin
4
a
f
11. sin 180
e
j
12. cos
6