Question

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

Answer 1

The answer is False. Have a wonderful afternoon

Answer 2

False

Explanation:

The given equation is:

`2sin^2x-sinx-1`

Substituting x=
`(3\pi)/(2)` in the above given equation, we have

=
`2sin((3\pi)/(2))^2-sin((3\pi)/(2))-1`

=
`2(-1)^2-(-1)-1`

=
`2+1-1`

=
`2`

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.