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Trigonometric Identities
For Sid
59
Mathematics
11th Grade
10/19/2013
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Cards

Term
csc θ
 Definition
1/sin θ
Term
sec θ
 Definition
1/cos θ
Term
cot θ
 Definition
1/tan θ
Term
sin θ
 Definition
1/csc θ
Term
cos θ
 Definition
1/sec θ
Term
tan θ
 Definition
1/cot θ
Term
1/sin θ
 Definition
csc θ
Term
1/cos θ
 Definition
sec θ
Term
1/tan θ
 Definition
cot θ
Term
1/csc θ
 Definition
sin θ
Term
1/sec θ
 Definition
cos θ
Term
1/cot θ
 Definition
tan θ
Term
tan θ
 Definition
sin θ / cos θ
Term
cot θ
 Definition
cos θ / sin θ
Term
cos θ / sin θ
 Definition
cot θ
Term
sin θ / cos θ
 Definition
tan θ
Term
sin (π/2 - θ)
 Definition
cos θ
Term
cos (π/2 - θ)
 Definition
sin θ
Term
csc (π/2 - θ)
 Definition
sec θ
Term
sec (π/2 - θ)
 Definition
csc θ
Term
tan (π/2 - θ)
 Definition
cot θ
Term
cot (π/2 - θ)
 Definition
tan θ
Term
sin2θ + cos2θ
 Definition
1
Term
1 - cos2θ
 Definition
sin2θ
Term
1- sin2θ
 Definition
cos2θ
Term
1 + cot2θ
 Definition
csc2θ
Term
csc2θ - 1
 Definition
cot2θ
Term
csc2θ - cot2θ
 Definition
1
Term
1 + tan2θ
 Definition
sec2θ
Term
sec2θ - tan2θ
 Definition
1
Term
sec2θ - 1
 Definition
tan2θ
Term
cos (α + β)
 Definition
cos α cos β - sin α sin β
Term
cos (α - β)
 Definition
cos α cos β + sin α sinβ
Term
sin (α + β)
 Definition
sin α cos β + sin α cos β
Term
sin (α - β)
 Definition
sin α cos β - sin α cos β
Term

tan α + tan β

1 - tan α tan β

 Definition
tan (α + β)
Term
tan (α - β)
 Definition

tan α - tan β

1 + tan α tan β
Term
cos α cos β - sin α sin β
 Definition
cos (α + β)
Term
cos α cos β + sin α sinβ
 Definition
cos (α - β)
Term
sin α cos β + sin α cos β
 Definition
sin (α + β)
Term
sin α cos β - sin α cos β
 Definition
sin (α - β)
Term
tan (α + β)
 Definition

tan α + tan β

1 - tan α tan β
Term

tan α - tan β

1 + tan α tan β

 Definition
tan (α - β)
Term

2 tan α

1 - tan2α 

 Definition
tan 2α
Term
2 cos2α - 1
 Definition
cos 2α
Term
1 - 2 sin2α
 Definition
cos 2α
Term
cos2α - sin2α
 Definition
cos 2α
Term
2 sin α cos α
 Definition
sin 2α
Term
sin 2α
 Definition
2 sin α cos α
Term
cos 2α
 Definition

cos2α - sin2α

or

1 - 2 sin2α

or

2 cos2α - 1
Term
tan 2α
 Definition

2 tan α

1 - tan2α 
Term
±√((1 + cos α) / 2)
 Definition
cos α/2
Term
cos α/2
 Definition
±√((1 + cos α) / 2)
Term
sin α/2
 Definition
±√((1 - cos α) / 2)
Term
±√((1 - cos α) / 2)
 Definition
sin α/2
Term
±√((1 - cos α) / (1 + cos α))
 Definition
tan α/2
Term

sin α

1 + cos α

 Definition
tan α/2
Term

1 - cos α

sin α

 Definition
tan α/2
Term
tan α/2
 Definition

±√((1 - cos α) / (1 + cos α))

 

or

 

sin α

1 + cos α

 

or

 

1 - cos α

sin α
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