2 × √3:2sin3x-1:2cos3x=1

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To simplify the expression, first, let's express √3 as a sin or cos function:

√3 = sin(60°) = sin(π/3)

Now, we rewrite the expression using trigonometric ratios:

2 × sin(60°) : 2sin(3x)-1 : 2cos(3x) = 1

This gives us:

2sin(60°) : 2sin(3x)-1 : 2cos(3x) = 1
2sin(π/3) : 2sin(3x)-1 : 2cos(3x) = 1
2sin(π/3) : 2sin(3x)-1 : 2cos(3x) = 1

This simplifies to:

2 : 2sin(3x)-1 : 2cos(3x) = 1

Therefore, the simplified expression is:

2 : 2sin(3x)-1 : 2cos(3x) = 1