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Pre Calc - Trig Identities
Composite, Double Angle, Half Angle
12
Mathematics
11th Grade
01/06/2013
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Term
cos(A-B)
 Definition
cos(A)cos(B) + sin(A)sin(B)
Term
cos(A+B)
 Definition
cos(A)cos(B) - sin(A)sin(B)
Term
sin(A-B)
 Definition
sin(A)cos(B) - cos(A)sin(B)
Term
sin(A+B)
 Definition
sin(A)cos(B) + cos(A)sin(B)
Term
tan(A+B)
 Definition
tan(A) + tan(B)
1 - tan(A)tan(B)
Term
tan(A-B)
 Definition
tan(A) - tan(B)
1 + tan(A)tan(B)
Term
sin2A
 Definition
2sin(A)cos(A)
Term
cos2A
 Definition
cos²(A) - sin²(A) ---> 1 - 2sin²(A) or 2cos²(A) - 1
Term
tan2A
 Definition
2tan(A)
1 - tan²(A)
Term
sin½A
 Definition
±√(½(1 - cos(A)))
Term
cos½A
 Definition
±√(½(1 + cos(A)))
Term
tan½A
 Definition
±√(1 - cos(A)) ---> 1 - cos(A) ---> sin(A)
√(1 + cos(A)) ---> sin(A) -------> 1 + cos(A)
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