caelanfrahn
caelanfrahn caelanfrahn
  • 03-05-2017
  • Mathematics
contestada

True or false
The value 3pi/2 is a solution for the equation 2sin^2x -sin x -1=0

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julianv28
julianv28 julianv28
  • 19-08-2017
The answer is False. Have a wonderful afternoon
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boffeemadrid
boffeemadrid boffeemadrid
  • 26-02-2019

Answer:

False

Step-by-step explanation:

The given equation is:

[tex]2sin^2x-sinx-1[/tex]

Substituting x=[tex]\frac{3\pi}{2}[/tex] in the above given equation, we have

=[tex]2sin(\frac{3\pi}{2})^2-sin(\frac{3\pi}{2})-1[/tex]

=[tex]2(-1)^2-(-1)-1[/tex]

=[tex]2+1-1[/tex]

=[tex]2[/tex]

Thus, the value of the given equation by substituting the value of x is equal to 2 and not zero, therefore the given statement is false.

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