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Answer :

The zero of the function are the roots of the function

The zero of the function is 30

How to determine the zeros

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

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