4sinx*cosx=корень из 3

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вопрос

To solve the equation 4sin(x)cos(x) = √3, we can use the identity sin(2x) = 2sin(x)cos(x).

First, rewrite the equation as 2(2sin(x)cos(x)) = √3. Then substitute sin(2x) = 2sin(x)cos(x) into the equation, giving us 2sin(2x) = √3.

Now, divide both sides by 2 to get sin(2x) = √3/2. Since sin(60°) = √3/2, we can conclude that 2x = 60° or x = 30°.

Therefore, the solution to the equation is x = 30°.