Not Found

The requested URL /top.php was not found on this server.

Additionally, a 404 Not Found error was encountered while trying to use an ErrorDocument to handle the request.

Тригонометрические зависимости

Пред. След. Главная

4.Тригонометрические формулы приведения

Тригонометрическая
функция		 - a 900± a 1800± a 2700± a 3600± a
sin -sina +cosa ±sina -cosa sin(±a)
cos +cosa ±sina -cosa ±sina cos(±a)
tg -tga ±ctga ±tga ±ctga tg(±a)
ctg -ctga ±tga ±ctga ±tga ctg(±a)

5. Выражение одной тригонометрической функции через другую функцию того же угла

Тригонометрическая
функция		 sin a cos a tg a ctg a
sin = -  √(1-cos2a)      tg a      
√(1+tg2a)		      1       
√(1+ctg2a)
cos =  √(1-sin2a) -       1        
√(1+tg2a)		      ctg a      
√(1+ctg2a)
tg =     sin a      
√(1-cos2a)		 √(1-cos2a)
cos a		 - 1
ctga
ctg = √(1-cos2a)
sin a		     cos a     
√(1-cos2a)		 1
tga		 -

Основные тригонометрические формулы

sin2a + cos2a =1

sin (a ± b)= sina cosb ± cosa sinb

cos (a ± b)= cosa cosb ± sina sinb

tg (a ± b)= (tga ± tgb) :  (1 ± tga tgb)

ctg (a ± b)= (ctga ctgb ± 1) : (ctgb ± ctga)

sin2a = 2sina cosa =  

           2         
  ctga + tga

cos2a = cos2a - sin2a = 1 - 2sin2a =2cos2a - 1 

tg2a = 

      2tga    
  1 - tg2a

 = 

         2        
  ctga-tga

ctg2a = 

      ctg2a -1    
         2ctga

 = 

            1           
2(ctga - tga)

sin a/2 = √ ((1 - cosa)/2) = (√ (1 + sina) - √ (1 - sina))/2

cos a/2 = √ ((1 + cosa)/2) = (√ (1 + sina) + √ (1 - sina))/2

tg a/2 =  sin a / (1 + cosa) = (1 - cosa) / sin a = √ ((1 - cosa) : (1 + cosa))

ctg a/2 =  sin a / (1 - cosa) = (1 + cosa) / sin a = √ ((1 + cosa) : (1 - cosa))

2sin2a = 1 - cos2a

2cos2a = 1 + cos2a

 

404 Not Found

Not Found

The requested URL /bottom.php was not found on this server.

Additionally, a 404 Not Found error was encountered while trying to use an ErrorDocument to handle the request.