Тригонометрия (алгебра) .

sin(*cos(=1/2[sin((-()+sin((+()]
sin(*sin(=1/2[cos((-()-cos((+()]
cos(*cos(=1/2[cos((-()+cos((+b)]
sin(+sin(=2sin((+()/2 * cos((-()/2
sin(-sin(=2sin((-()/2 * cos((+()/2
cos(+cos(=2cos((+()/2 * cos((-()/2
cos(-cos(=-2sin((+()/2 * sin((-()/2

(a+b)2=a2+2ab+b2
(a-b)2=a2+2ab+b2
(a+b+c)2=a2+b2+c2+2ab+2ac+2bc
a2-b2=(a-b)(a+b)
(a+b)3=a3+3a2b+3ab2+b3
(a-b)3=a3-3a2b+3ab2-b3
a3+b3=(a+b)(a2-ab+b2)
a3-b3=(a-b)(a2+ab+ b2)

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|  |0|30|45|60|90|18|12|13|15|27|
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|n | |2 |/2|/2|  |  |/2|/2|2 |  |
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|s | |/2|/2|2 |  |  |/2|2/|3/|  |
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sin2+cos2=1     sin=±(1-cos2         sin(-()=-sin(  tg(-()=-tg(
tg(ctg=1           cos=±(1-sin2      cos(-()=cos(  ctg(-g)=-ctg(
tg=1/ctg  ctg=1/tg          1+tg2=1/cos2=sec2
sin2=(1-cos)(1+cos)         1+ctg2=1/sin2=cosec2        sin2(=2sin((cos(
cos2=(1-sin)(1+sin)         1-tg2/(1+tg2)=cos4-sin4     cos2(=cos2 (-sin2 (
cos/(1-sin)=1+sin/cos  1/(tg+ctg)=sin(cos    tg2(=2tg(/1-tg(
cos((+()=cos((cos(-sin((sin(           sin3(=3sin(-4sin3(
cos((-()=cos((cos(+sin((sin(           cos3(=4cos3(-3cos(
sin((+()=sin((cos(+cos((sin(           tg((+()=tg(+tg(
sin((-()=sin((cos(-cos((sin(                            1-tg((tg(
2cos2(/2=1+cos(        2sin2(/2=1-cos(

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