ESCOLA SECUNDRIA ALBERTO SAMPAIO TRIGONOMETRIA

FRMULAS - SISTEMA SEXAGSIMAL

JORGE FREITAS TRIGONOMETRIA frmulas.doc 18/10/2005

30D 45D 60D

sen 12

22

3

2

cos 3

2

22

12

tg 3

3

1 3

cotg

3

1 3

3

6

4

3

sen( ) cos90D = sen( ) cos90D + = cos( )90D = sen cos( )90D + = sen tg g( ) cot90D = tg g( ) cot90D + = cot ( )g tg90D = cot ( )g tg90D + =

sen sen( )180D = sen sen( )180D + = cos( ) cos180D = cos( ) cos180D + = tg tg( )180D = tg tg( )180D + =

cot ( ) cotg g180D = cot ( ) cotg g180D + =

sen( ) cos270D = sen( ) cos270D + = cos( )270D = sen cos( )270D + = sen tg g( ) cot270D = tg g( ) cot270D + = cot ( )g tg270D = cot ( )g tg270D + =

sen sen( )360D = sen sen( ) = cos( ) cos360D = cos( ) cos = tg tg( )360D = tg tg( ) =

cot ( ) cotg g360D = cot ( ) cotg g =

SISTEMA CIRCULAR

sen( ) cos 2 = sen( ) cos

2+ =

cos( ) 2 = sen cos( )

2+ = sen

tg g( ) cot 2 = tg g( ) cot

2+ =

cot ( )g tg 2 = cot ( )g tg

2+ =

sen sen( ) = sen sen( ) + = cos( ) cos = cos( ) cos + = tg tg( ) = tg tg( ) + =

cot ( ) cotg g = cot ( ) cotg g + =

sen( ) cos32 = sen( ) cos3

2 + =

cos( )32 = sen cos( )3

2 + = sen

tg g( ) cot32 = tg g( ) cot3

2 + =

cot ( )g tg32 = cot ( )g tg3

2 + =

sen sen( )2 = sen sen( ) = cos( ) cos2 = cos( ) cos = tg tg( )2 = tg tg( ) =

cot ( ) cotg g2 = cot ( ) cotg g = FRMULA FUNDAMENTAL DA TRIGONOMETRIA sen cos2 2 1 + =

tg2 21 1 = cos

cotg

sen2

2

1 1 =

00 300 450 600 900 1200 1350 1500 1800 0

6

4

3

2

23 3

4 5

6

2100 2250 2400 2700 3000 3150 3300 3600 76 5

4 4

3 3

2 5

3 7

4 11

6