Формулы тригонометрических функции двойного и половинного угла

Формулы двойного угла

cos2α = cos2α - sin2α

cos2α = 2cos2α - 1

cos2α = 1 - 2sin2α

sin2α = 2sinα * cosα

tg2α = $fraction numerator size 12px 2 size 12px t size 12px g size 12px alpha over denominator size 12px 1 size 12px minus size 12px t size 12px g to the power of size 12px 2 size 12px alpha end fraction$

ctg2α = $fraction numerator size 12px c size 12px t size 12px g to the power of size 12px 2 size 12px alpha size 12px minus size 12px 1 over denominator size 12px c size 12px t size 12px g size 12px alpha end fraction$

Формула половинного угла

$size 12px s size 12px i size 12px n to the power of size 12px 2 size 12px alpha over size 12px 2 size 12px equals fraction numerator size 12px 1 size 12px minus size 12px c size 12px o size 12px s size 12px alpha over denominator size 12px 2 end fraction$ ;

$size 12px c size 12px o size 12px s to the power of size 12px 2 size 12px alpha over size 12px 2 size 12px equals fraction numerator size 12px 1 size 12px plus size 12px c size 12px o size 12px s size 12px alpha over denominator size 12px 2 end fraction$ ;

$size 12px t size 12px g to the power of size 12px 2 size 12px alpha over size 12px 2 size 12px equals fraction numerator size 12px 1 size 12px minus size 12px c size 12px o size 12px s size 12px alpha over denominator size 12px 1 size 12px plus size 12px c size 12px o size 12px s size 12px alpha end fraction$ ;

$size 12px t size 12px g size 12px alpha over size 12px 2 size 12px equals fraction numerator size 12px sin size 12px alpha over denominator size 12px 1 size 12px plus size 12px c size 12px o size 12px s size 12px alpha end fraction$ ;

$size 12px c size 12px t size 12px g size 12px alpha over size 12px 2 size 12px equals fraction numerator size 12px 1 size 12px minus size 12px c size 12px o size 12px s size 12px alpha over denominator size 12px s size 12px i size 12px n size 12px alpha end fraction$

Формулы понижения степени

$size 12px s size 12px i size 12px n to the power of size 12px 2 size 12px alpha size 12px equals fraction numerator size 12px 1 size 12px minus size 12px c size 12px o size 12px s size 12px 2 size 12px alpha over denominator size 12px 2 end fraction$

$begin mathsize 12px style s i n cubed alpha equals fraction numerator 3 sin alpha minus sin 3 alpha over denominator 4 end fraction end style$

$begin mathsize 12px style c o s squared alpha equals fraction numerator 1 plus c o s 2 alpha over denominator 2 end fraction end style$

$begin mathsize 12px style c o s cubed alpha equals fraction numerator 3 c o s alpha plus c o s 3 alpha over denominator 4 end fraction end style$

$begin mathsize 12px style s i n squared alpha asterisk times c o s squared alpha equals fraction numerator 1 minus c o s 4 alpha over denominator 8 end fraction end style$

$begin mathsize 12px style s i n cubed alpha asterisk times c o s cubed alpha equals fraction numerator 3 s i n 2 alpha minus s i n 6 alpha over denominator 32 end fraction end style$

Формулы тройного угла

$begin mathsize 12px style s i n 3 alpha equals 3 s i n alpha minus 4 s i n cubed alpha end style$

$begin mathsize 12px style c o s 3 alpha equals 4 c o s cubed alpha minus 3 c o s alpha end style$

$begin mathsize 12px style t g 3 alpha equals fraction numerator 3 t g alpha minus t g cubed alpha over denominator 1 minus 3 t g squared alpha end fraction end style$

$begin mathsize 12px style c t g 3 alpha equals fraction numerator 3 c t g alpha minus c t g cubed alpha over denominator 1 minus 3 c t g squared alpha end fraction end style$

Вопросы к конспектам

fraction numerator size 12px 1 size 12px minus size 12px c size 12px o size 12px s size 12px 2 size 12px x size 12px plus size 12px s size 12px i size 12px n size 12px 2 size 12px x over denominator size 12px 1 size 12px plus size 12px c size 12px o size 12px s size 12px 2 size 12px x size 12px plus size 12px s size 12px i size 12px n size 12px 2 size 12px x end fraction size 12px equals size 12px ?

fraction numerator size 12px s size 12px i size 12px n size 12px 4 size 12px x over denominator size 12px 1 size 12px plus size 12px c size 12px o size 12px s size 12px 4 size 12px x end fraction size 12px asterisk times fraction numerator size 12px s size 12px i size 12px n size 12px 2 size 12px x over denominator size 12px 1 size 12px plus size 12px c size 12px o size 12px s size 12px 2 size 12px x end fraction size 12px equals size 12px ?

fraction numerator size 12px c size 12px o size 12px s size 12px 2 size 12px alpha over denominator size 12px 1 size 12px minus size 12px s size 12px i size 12px n size 12px 2 size 12px alpha end fraction size 12px minus fraction numerator size 12px 1 size 12px plus size 12px t size 12px g size 12px alpha over denominator size 12px 1 size 12px minus size 12px t size 12px g size 12px alpha end fraction size 12px equals size 12px ?

fraction numerator size 12px c size 12px o size 12px s to the power of size 12px 2 size 12px x size 12px minus size 12px 4 size 12px s size 12px i size 12px n to the power of size 12px 2 begin mathsize 12px display style x over 2 end style size 12px c size 12px o size 12px s to the power of size 12px 2 begin mathsize 12px display style x over 2 end style over denominator size 12px 1 size 12px minus size 12px 8 size 12px s size 12px i size 12px n to the power of size 12px 2 begin mathsize 12px display style x over 2 end style size 12px c size 12px o to the power of size 12px 2 begin mathsize 12px display style x over 2 end style end fraction size 12px equals size 12px ?

size 12px c size 12px t size 12px g size 12px alpha over size 12px 2 size 12px minus size 12px t size 12px g size 12px alpha over size 12px 2 size 12px equals size 12px ?

Упростите выражение: 2cos²2α - cos4α

Вычислить если tgα = 0,2:

fraction numerator size 12px 2 over denominator size 12px 3 size 12px plus size 12px 4 size 12px c size 12px o size 12px s size 12px 2 size 12px alpha end fraction size 12px equals size 12px ?

Если tgα = 0,2,

fraction numerator size 12px 5 over denominator size 12px 6 size 12px plus size 12px 7 size 12px s size 12px i size 12px n size 12px 2 size 12px alpha end fraction size 12px equals size 12px ?

Упростите: 1 – 8sin2x · cos2x

Упростите:

size 12px 2 size 12px s size 12px i size 12px n to the power of size 12px 2 size 12px alpha over size 12px 2 size 12px plus size 12px c size 12px o size 12px s size 12px alpha

Последнее изменение: Воскресенье, 29 Январь 2017, 23:34