cos(θ) = 24/25
sin^2(θ) + cos^2(θ) = 1
sin^2(θ) + (24/25)^2 = 1
sin^2(θ) + 576/625 = 1
sin^2(θ) = 49/625
sin(θ) = ±7/25

tan(θ) = sin(θ)/cos(θ) = (±7/25)/(24/25) = ±7/24

csc(θ) = 1/sin(θ) = 1/(±7/25) = ±25/7

sec(θ) = 1/cos(θ) = 1/(24/25) = 25/24

cot(θ) = 1/tan(θ) = 1/(±7/24) = ±24/7

Получаем:
sin(θ) = ±7/25
tan(θ) = ±7/24
csc(θ) = ±25/7
sec(θ) = 25/24
cot(θ) = ±24/7