Известно что tgt=7/24, pi

tgt = 7/24,
(tgt)^2 = 49/576,
(sint)^2 = [(cost)^2] *(49/576),

1- (cost)^2 = (49/576)*(cost)^2,
(cost)^2*[49/576 + 1) = 1,

(cost)^2 = 1/[(49 + 576)/576],
(cost)^2 = 576/ 625,
cost = +,-24/25,

(sint)^2 = 1 - (cost)^2 = 1 - 576/625 =
= (625 - 576)/625 = 49/625,
sint = +,-7/25,

ctgt = 1/tgt = 24/7.

ОТВЕТ:
1) ctgt = 24/7
2)
a) sint = +7/25, cost = +24/25,
b) a) sint = -7/25, cost = -24/25,