aramireztjca aramireztjca
  • 15-10-2019
  • Mathematics
contestada

the value pie/2 is a solution for the equation 2sin^2x-sinx-1=0

true or false

Respuesta :

mberisso
mberisso mberisso
  • 15-10-2019

Answer:

Yes, [tex]\frac{\pi }{2}[/tex] is a solution

Step-by-step explanation:

Recall that [tex]sin(\frac{\pi }{2})=1[/tex]. By replacing [tex]\frac{\pi }{2}[/tex] in the given trigonometric equation, we get 0 (zero) as a result, so this value is a solution:

[tex]2*(sin(\frac{\pi }{2} ))^2-sin(\frac{\pi }{2})-1= 2*(1)^2-1-1=2-2=0[/tex]

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