Опубликовано 08.06.2017 по предмету Алгебра от Гость >> <<

ПОЖАЛЙСТА!!!с

дано:
cost=34;

0

Найти: cos t2, sin t2, tg t2 и ctg t2.

Ответ оставил Гость

cost = 3/4

cos(t/2) = ((1 + cost)/2)^(1/2) = ((1 + 3/4)/2)^(1/2) = (7/8)^(1/2) = (7^(1/2))/(2*(2^(1/2)))

sin(t/2) = (1 - cos^2(t/2))^(1/2) = (1 - 7/8)^(1/2) = 1/(8^(1/2)) = 1/(2*(2^(1/2)))

tg(t/2) = sin(t/2)/cos(t/2) = (1/(2*(2^(1/2))))/((7^(1/2))/(2*(2^(1/2)))) = 1/(7^(1/2))

ctg(t/2) = 1/tg(t/2) = 7^(1/2)