ПОЖАЛЙСТА!!!с дано:cost=3\4; 0<t<п\2 Найти: cos t\2, sin t\2, tg t\2 и ctg t\2.

Question

ПОЖАЛЙСТА!!!с

дано:
cost=3\4;

0

Найти: cos t\2, sin t\2, tg t\2 и ctg t\2.

Answer 1

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)