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| TRIGONOMETRIC
FUNCTIONS |
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| Radius
AF |
= 1
= sin 2
A + cos 2
A = sin A cosec A
= cos A sec A = tan A cot A |
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| Sine A |
= cos a/cot a = 1/cosec
a = cos a tan a =  |
=BC |
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| Cosine A |
= sin a/tan a = 1/sec a
= sin a cot a =  |
=AC |
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| Tangent A |
= sin A/cos A = 1/cot A
= sin A sec A |
=FD |
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| Cotangent A |
= cos A/sin A = 1/tan A
= cos A cosec A |
=HG |
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| Secant A |
= tan A/sin A = 1/cos A |
=AD |
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| Cosecant A |
= cot A/cos A = 1/sin A |
=AG |
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| RIGHT
ANGLED TRIANGLES |
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a2
= c2
- b2
b2
= c2
- a2
c2
= a2
+ b2
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| Known |
Required |
| A |
B |
a |
b |
c |
Area |
| a,b |
tan A = a/b |
tan B = b/a |
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ab/2 |
| a,c |
sin A = a/c |
cos B = a/c |
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a/2 |
| A,a |
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90o
- A |
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a cot A |
a/sin A |
(a2
cot A)/2 |
| A,b |
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90o
- A |
b tan a |
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b/cos A |
(b2
tan A)/2 |
| A,c |
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90o
- A |
c sin a |
c cos A |
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(c2
sin 2 A)/4 |
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| OBLIQUE
ANGLED TRIANGLES |
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a2
= b2
+ c2 - 2 bc cos A
b2
= a2
+ c2
- 2 ac cos B
c2
= a2
+ b2
- 2 ab cos C
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| Known |
Required |
| A |
B |
a |
b |
c |
Area |
| a,b,c |
tan 1/2 A = K/(s-a) |
tan 1/2 B = K/(a-b) |
tan 1/2 C = K/(s-c) |
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| a,A,B |
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180 - (A + B) |
(a sin B)/sin A |
(a sin C)/sin A |
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| a,b,A |
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sin B = (b sin A)/a |
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(b sin C) / sin B |
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| a,b,C |
tan A = (a sin C)/(b
- a cos C) |
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(ab sin C)/2 |
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