horizonwill horizonwill
  • 15-03-2018
  • Mathematics
contestada

solve on the interval 0,2pi) 2cscx-3=-5

Respuesta :

calculista
calculista calculista
  • 24-03-2018
we have that

2cscx-3=-5---------> 2cscx=-5+3---------> cscx=-2/2---------> cscx=-1

we know that
csc x=1/sin x
then
1/sin x=-1--------------> sin x=-1
x=arcsin (-1)---------> x=-90°
x=-90°---------------> 360°-90°-----------> x=270°------------> 3pi/2

the answer is
x=3pi/2 radians
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