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Trigonometric Identities 2
More trig identities
17
Mathematics
Undergraduate 1
06/01/2013
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Term
sin(2x) = ?
 Definition
2sinxcosx
Term
cos(2x) = ? 3 identities
 Definition
1. cos²x - sin²x
2. 1 - 2sin²x
3. 2cos²x - 1
Term
1 + cos(2x)
___________ = ?
2
 Definition
cos²x
Term
1 - cos(2x)
___________ = ?
2
 Definition
sin²x
Term
sin²x = ?
(power reduce formula)
 Definition
1 - cos(2x)
___________
2
Term
cos²x = ?
(power reduce formula)
 Definition
1 + cos(2x)
___________
2
Term
sec²x - 1
 Definition
tan²x
Term
1 + tan²x
 Definition
sec²x
Term
1 + cot²x
 Definition
csc²x
Term
csc²x - 1
 Definition
cot²x
Term
sec²x - 1
 Definition
tan²x
Term
sin(x ± y)
 Definition
sin(x)cos(y) ± cos(x)sin(y)
Term
cos(x ± y)
 Definition
cos(x)cos(y) ∓ sin(x)sin(y)
Term
tan(x ± y) = ?
 Definition
tan(x) ± tan(y)
________________
1 ∓ tan(x)tan(y)
Term
tan²x = ?
(power reduce formula)
 Definition
1 - cos2x
_________
1 + cos2x
Term
1-sin²x
 Definition
cos²x
Term
1-cos²x
 Definition
sin²x
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