Question

ПОМОГИТЕ
tgx+ctgx=-2

Answer 1

tgx+ctgx=-2

sinx/cosx+cosx/sinx=(sin²x+cos²x)/sinxcosx=1/sinxcosx

 sin2x=2sinxcosx      sinxcosx=sin2x/2    1/sinxcosx=2/sin2x

2/sin2x=-2    sin2x=-1     2x=3π/2+2πn      x=3π/4+πn  n∈Z