6.4 SUM AND DIFFERENCE

FORMULASUsing Sum/Difference to Find Exact

Values

(Angles Measured in Radians)

SUM AND DIFFERENCE FORMULAS FOR COSINE

cos cos cos sin sin

cos cos cos sin sin

USE SUM FORMULA TO FIND EXACT VALUE

712cos 3 4cos

3 4 3 4cos cos sin sin

32 212 2 2 2

624 4

14 2 6

USE DIFFERENCE FORMULA TO FIND EXACT VALUE

712cos 3

4 6cos 3 34 6 4 6cos cos sin sin

32 2 12 2 2 2

6 24 4

14 2 6

SUM AND DIFFERENCE FORMULAS FOR SINE

sin sin cos cos sin

sin sin cos cos sin

USE SUM FORMULA TO FIND EXACT VALUE

512sin 6 4sin

6 4 6 4sin cos cos sin

32 212 2 2 2

624 4

14 2 6

USE DIFFERENCE FORMULA TO FIND EXACT VALUE

23 4sin

2 23 4 3 4sin cos cos sin

3 2 212 2 2 2

6 24 4

14 6 2

512sin

SUM AND DIFFERENCE FORMULAS FOR TANGENT

tan tantan

1 tan tan

tan tantan

1 tan tan

USE SUM FORMULA TO FIND EXACT VALUE

1312tan 3

4 3tan

4 3

4 3

tan tan

1 tan tan

1 3

1 1 3

1 3

1 3

1 3

1 3

4 2 3

1 3

4 2 3

2

2 3

USE DIFFERENCE FORMULA TO FIND EXACT VALUE

1312tan 4

3 4tan

43 4

43 4

tan tan

1 tan tan

3 1

1 3 1

3 1

1 3

1 3

1 3

4 2 3

1 3

4 2 3

2

2 3

FIND THE EXACT VALUE5 512 12 12 12sin cos cos sin

sin cos cos sin

sin

512 12sin

2sin

1

FIND THE EXACT VALUE2 29 9 9 9cos cos sin sin

cos cos sin sin

cos

29 9cos

3cos

1

2

ASSIGNMENT

p. 481# 9 - 12, 17 - 20, 27 - 30