Trigonometric Identities
Common degree
|
degree |
Sin |
Cos |
Tg |
|
0 |
0 |
1 |
0 |
|
30 or π/6 |
|
|
|
|
45 or π/4 |
|
|
1 |
|
60 or π/3 |
|
|
|
|
90 or π/2 |
1 |
0 |
infinite |
Reciprocal Trigonometric Identities
; 
; 
; 
;
Pythagorean Trigonometric Identities
Ratio Trigonometric Identities
Trigonometric Identities of Opposite Angles
Sin (-a) = – Sin a
Cos (-a) = Cos a
Tan (-a) = – Tan a
Cot (-a) = – Cot a
Sec (-a) = Sec a
Csc (-a) = -Csc a
Trigonometric Identities of Complementary Angles
Sin (90 – a) = Cos a
Cos (90 – a) = Sin a
Tan (90 – a) = Cot a
Cot ( 90 – a) = Tan a
Sec (90 – a) = Csc a
Csc (90 – a) = Sec a
Trigonometric Identities of Supplementary Angles
sin (180°- a) = sina
cos (180°- a) = -cos a
cosec (180°- a) = cosec a
sec (180°- a) = -sec a
tan (180°- a) = -tan a
cot (180°- a) = -cot a
Sum and Difference of Angles Trigonometric Identities
Double Angle Trigonometric Identities
Half Angle Identities
Product-Sum Trigonometric Identities
Trigonometric Identities of Products
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