Шпаргалки / Шпоры и задачи для подготовки к экзамену / sinx

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sinx=cos(/2-x); cosx=sin(/2-x)

sin²+cos²=tgctg=1

sin²=1-cos2/2; cos²=1+cos2/2

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sin(+)=sincos+cossin

sin(-)=sincos-cossin

cos(+)=coscos-sinsin

cos(-)=coscos+sinsin

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sin+sin=2sin(+/2)cos(-/2)

sin-sin=2sin(-/2)cos(+/2)

cos+cos=2cos(+/2)cos(-/2)

cos-cos=-2sin(-/2)sin(+/2)

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sin2=2sincos

cos2=cos²-sin²=1-sin²=2cos²-1

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tgx=a; x=arctga+n; nZ

ctgx=a; x=arcctga+n; nZ

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cosx=a; x=arccosa+2n; nZ

cosx=0; x=/2+n; nZ

cosx=1; x=2n; nZ

cosx=-1; x=+2n; nZ

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sinx=a; x=(-1)ⁿarcsina+n; nZ

sinx=0; x=n; nZ

sinx=1; x=/2+n; nZ

sinx=-1; x=-/2+n; nZ

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a³+b³=(a+b)(a²-ab+b²)

a³-b³=(a-b)(a²+ab+b²)

(a+b)³=a³+3a²b+3ab²+b³

(a-b)³=a³-3a²b+3ab²-b³

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