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6.5 DOUBLE ANGLE
FORMULASExact values with given information
Establish Identities
FORMULA
sin 2 2sin cos
USE THE FORMULA35 2Given cos , 0
Find sin 2
FORMULAS
2 2cos 2 cos sin
2cos 2 2cos 1
2cos 2 1 2sin
USE THE FORMULA35 2Given cos , 0
Find cos 2
EXAMPLE312
5 2Given tan ,
Find cos 2 Find sin 2
EXAMPLE32Given cot , cos 0
Find cos 2 Find sin 2
ESTABLISH THE IDENTITY
2
2
secsec 2
2 sec
FORMULA
2
2 tantan 2
1 tan
ESTABLISH THE IDENTITY
2cot 1
cot 22cot
ASSIGNMENT
p. 490 # 1, 4 - 6, 7 - 13 odd (a,b), 36 - 40 even