JenMarie
JenMarie JenMarie
  • 18-08-2016
  • Mathematics
contestada

cotx(tanx-1)=0

solve over [0, 2pie)

Respuesta :

Аноним Аноним
  • 18-08-2016
[tex]cot x (tan x - 1) = 0 [/tex] 


[tex]cot x tan x - cot x = 0 [/tex] 

[tex]= cot x = 1/tan x = cot x tan x = 1 [/tex] 

[tex]1 - cot x = 0 [/tex] 

[tex]1 = cot x [/tex]

[tex]x = arccot 1 [/tex]

= [0,2π) 

x = π/4 and x=5π/4
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