The zero of the function are the roots of the function
The zero of the function is 30
The equation of the function is given as:
[tex]f(x) = 2 -4\sin(x)[/tex]
Set the function to 0
[tex]2 -4\sin(x) = 0[/tex]
Subtract 2 from both sides of the equation
[tex]-4\sin(x) = -2[/tex]
Divide both sides by -4
[tex]\sin(x) = 0.5[/tex]
Take the arc sin of both sides
[tex]x = \sin^{-1}(0.5)[/tex]
Solve for x
[tex]x =30[/tex]
Hence, the zero of the function is 30
Read more about zeros of functions at:
https://brainly.com/question/20896994