Question

Развязать 864 номер, задание Б

Answer 1

фи или пси будет b

tg(a) + tg(-b) = tg(a) - tg(b) = sin(a)/cos(a) - sin(b)/cos(b) = (sin(a)cos(b) - sin(b)cos(a))/cos(a)cos(b) = sin(a - b)/cos(a)cos(b)

ctg(-a) + ctg(b) =  - ctg(a) + ctg(b) =  cos(b)/sin(b) - cos(a)/sin(a) = (sin(a)cos(b) - sin(b)cos(a))/sin(a)sin(b) = sin(a - b)/sin(a)sin(b)  

sin(a - b)/cos(a)cos(b) : sin(a - b)/sin(a)sin(b)  = sin(a - b)/cos(a)cos(b) * sin(a)sin(b)/sin(a - b)  = sin(a)sin(b) / cos(a)cos(b)  = tg(a)tg(b)