Respuesta :

4sin²x-3=0
4sin²x=3
sin²x=3/4
sinx=√3/2 or -√3/2
x=π/3, 2π/3, 4π/3, or 5π/3

The equation 4sin^2x-3=0 has a solution of x=π/3,2π/3,4π/3,5π/3.

What is equation?

An equation is basically a relationship between two variables in equal to form. In an equation each variable must have a solution or value.

How to solve an equation?

The equation given as 4sin²x-3=0

We have to first find the value of x in the equation itself  which is  4sin²x=3

sin²x=3/4

sinx=√3/2 or -√3/2

x=π/3, 2π/3, 4π/3, or 5π/3.

Hence the solution for the equation 4[tex]sin^{2}x-3[/tex]=0 is x=π/3,2π/3,4π/3,5π/3.

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