Математика

Формулы по тригонометрии (шпаргалка)


|cos(=((1-sin2(=(1-tg2(/2)/(1+|sin(=((1/1+ctg2(=(2tg(/2)/(1+t|
|tg2(/2)                      |g2(/2)                        |
|cos(([pic]()=sin(sin([pic]cos|sin(((((=sin(cos((sin(cos(    |
|(cos(                        |                              |
|tg((+()=sin((+()/cos((+()=(tg|tg((-()=(tg(-tg()/(1+tg(tg()  |
|(+tg()/(1-tg(tg()            |                              |
|ctg((+()=(ctg(ctg(-1)/(ctg(+c|ctg((-()=(ctg(ctg(+1)/(ctg(-ct|
|tg()                         |g()                           |
|sin2(=2sin(cos(=(2tg()/(1+tg2|cos2(=cos2(-sin2(=(1-tg2()/(1+|
|()                           |tg2()=2cos2(-1=1-2sin2(       |
|tg2(=2tg(/(1-tg2()           |ctg2(=(ctg2(-1)/2ctg(         |
|ctg2(=(ctg2(-1)/2ctg(        |                              |
|cos2(/2=1+cos(/2             |sin2(/2=1-cos(/2              |
|cos2(=(1+cos2()/2            |sin2(=(1-cos2()/2             |
|cos(/2=((1+cos(/2            |sin(/2=((1-cos(/2             |
|tg(/2=((1-cos(/1+cos(=(sin()/|ctg(/2=((1+cos(/1-cos(=sin(/(1|
|(1+cos()=(1-cos()/sin(       |-cos()=(1+cos()/sin(          |
|sin(+cos(=(2 cos((/4-()      |sin(-cos(=(2 sin((-(/4)       |
|cos(-sin(=(2 sin((/4-()      |cos(+cos(=2cos((+()/2cos((-()/|
|                             |2                             |
|cos(-cos(=-2sin((+()/2sin((-(|sin(+sin(=2sin((+()/2cos((-()/|
|)/2                          |2                             |
|sin(-sin(=2sin((-()/2cos((+()|tg((tg(=(sin(((())/cos(cos(   |
|/2                           |                              |
|cos(cos(=1/2(cos(((()+cos((+(|sin(sin(=1/2(cos(((()-cos((+()|
|))                           |)                             |
|sin(cos(=1/2(sin((+()+sin((-(|tg(=(2tg(/2)/(1-tg2(/2)       |
|))                           |                              |

|cos(=((1-sin2(=(1-tg2(/2)/(1+tg2(/2) |sin(=((1/1+ctg2(=(2tg(/2)/(1+tg2(/2) |
|cos(([pic]()=sin(sin([pic]cos(cos(   |sin(((((=sin(cos((sin(cos(           |
|tg((+()=sin((+()/cos((+()=(tg(+tg()/(|tg((-()=(tg(-tg()/(1+tg(tg()         |
|1-tg(tg()                            |                                     |
|ctg((+()=(ctg(ctg(-1)/(ctg(+ctg()    |ctg((-()=(ctg(ctg(+1)/(ctg(-ctg()    |
|sin2(=2sin(cos(=(2tg()/(1+tg2()      |cos2(=cos2(-sin2(=(1-tg2()/(1+tg2()=2|
|                                     |cos2(-1=1-2sin2(                     |
|tg2(=2tg(/(1-tg2()                   |ctg2(=(ctg2(-1)/2ctg(                |
|ctg2(=(ctg2(-1)/2ctg(                |                                     |
|cos2(/2=1+cos(/2 cos2(=(1+cos2()/2   |sin2(/2=1-cos(/2  sin2(=(1-cos2()/2  |
|cos(/2=((1+cos(/2                    |sin(/2=((1-cos(/2                    |
|tg(/2=((1-cos(/1+cos(=(sin()/(1+cos()|ctg(/2=((1+cos(/1-cos(=sin(/(1-cos()=|
|=(1-cos()/sin(                       |(1+cos()/sin(                        |
|sin(+cos(=(2 cos((/4-()              |sin(-cos(=(2 sin((-(/4)              |
|cos(-sin(=(2 sin((/4-()              |cos(+cos(=2cos((+()/2cos((-()/2      |
|cos(-cos(=-2sin((+()/2sin((-()/2     |sin(+sin(=2sin((+()/2cos((-()/2      |
|sin(-sin(=2sin((-()/2cos((+()/2      |tg((tg(=(sin(((())/cos(cos(          |
|cos(cos(=1/2(cos(((()+cos((+())      |sin(sin(=1/2(cos(((()-cos((+())      |
|sin(cos(=1/2(sin((+()+sin((-())      |tg(=(2tg(/2)/(1-tg2(/2)              |



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