Математика, Детальна інформація

1+ ctg(( =1/sin(( , (( (n

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sin(x+y) = sin x cos y + cos x sin y

sin (x-y) = sin x cos y - cos x sin y

cos (x+y) = cos x cos y - sin x sin y

cos (x-y) = cos x cos y + sin x sin y

tg(x+y) = (tg x + tg y)/ (1-tg x tg y )

x, y, x + y ( (/2 + (n

tg(x-y) = (tg x - tg y)/ (1+tg x tg y)

x, y, x - y ( (/2 + (n

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sin 2( = 2sin ( cos (

cos 2( = cos( ( - sin( ( = 2 cos( ( - 1 =

= 1-2 sin((

tg 2( = (2 tg()/ (1-tg(()

1+ cos ( = 2 cos( (/2

1-cos( = 2 sin( (/2

tg( = (2 tg ((/2))/(1-tg(((/2))

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sin( (/2 = (1 - cos ()/2

cos((/2 = (1 + cos()/2

tg (/2 = sin(/(1 + cos( ) = (1-cos ()/sin (

(( ( + 2(n, n (Z

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sin x + sin y = 2 sin ((x+y)/2) cos ((x-y)/2)

sin x - sin y = 2 cos ((x+y)/2) sin ((x-y)/2)

cos x + cos y = 2cos (x+y)/2 cos (x-y)/2

cos x - cos y = -2sin (x+y)/2 sin (x-y)/2

sin (x+y)

tg x + tg y = —————