tg10st = tg(90-80) = ctg80tg20 = tg(90-70) = ctg70tg30 = tg(90-60) = ctg60tg40 = tg(90-40) = ctg50ctg alfa * tg alfa = 1wiecctg80 x tg80 x ctg70 x tg70 x ctg60 x tg60 x ctg50 x tg50 = 1
tg10st. * tg20 *tg30 * tg40 * tg50 *tg60 * tg70 *tg80=
tu trzeba sposobem
tg 10 * tg 20 * tg 30 * tg 40 * tg(90-40)* tg(90-30) * tg (90-20) * tg (90-10)=
tg 10 * tg 20 * tg 30 * tg 40 * ctg40* ctg30 * ctg 20 * ctg 10=
teraz łączymy w pary (z tymi samymi kątami) i wykorzystujemy wzór
tg alfa * cgt alfa =1
(tg 10 * ctg 10) * (tg 20 *ctg20)*( tg 30 *ctg30)* (tg 40 * ctg40)=
1*1*1*1=1
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tg10st = tg(90-80) = ctg80
tg20 = tg(90-70) = ctg70
tg30 = tg(90-60) = ctg60
tg40 = tg(90-40) = ctg50
ctg alfa * tg alfa = 1
wiec
ctg80 x tg80 x ctg70 x tg70 x ctg60 x tg60 x ctg50 x tg50 = 1
tg10st. * tg20 *tg30 * tg40 * tg50 *tg60 * tg70 *tg80=
tu trzeba sposobem
tg 10 * tg 20 * tg 30 * tg 40 * tg(90-40)* tg(90-30) * tg (90-20) * tg (90-10)=
tg 10 * tg 20 * tg 30 * tg 40 * ctg40* ctg30 * ctg 20 * ctg 10=
teraz łączymy w pary (z tymi samymi kątami) i wykorzystujemy wzór
tg alfa * cgt alfa =1
(tg 10 * ctg 10) * (tg 20 *ctg20)*( tg 30 *ctg30)* (tg 40 * ctg40)=
1*1*1*1=1