2sin(-390)+6cos60-ctg(-750)+9tg30

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To simplify the expression, we first need to convert the trigonometric functions to their respective values:

sin(-390) = sin(-360 - 30) = sin(-30) = -sin(30) = -0.5
cos60 = 0.5
ctg(-750) = cot(-30) = tan(-30) = -tan(30) = -√3
tg30 = tan30 = √3

Now we substitute these values back into the expression:

2(-0.5) + 6(0.5) - (-√3) + 9(√3)
= -1 + 3 + √3 + 9√3
= 2 + 10√3

Therefore, the simplified expression is 2 + 10√3.