Answer :

Answer:

A)cosx(4sinx-1)=0

Step-by-step explanation:

The given equation is

[tex]2 \sin(2x) = \cos(x) [/tex]

We equate everything to zero to get:

[tex]2 \sin(2x) - \cos(x) = 0[/tex]

Use the double angle property, to get:

[tex]2 (2\sin(x) \: \cos(x) ) - \cos(x) = 0[/tex]

This implies that:

[tex] \cos x(4\sin \: x - 1) = 0[/tex]

The correct answer is A

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