Let's break this down step by step and simplify each term.
3tg(45°) = 3tan(45°) = 3.
√3 ctg(60°) = √3 / tan(60°) = √3 / √3 = 1.
4sin(30°) = 4*0.5 = 2.
Now, let's substitute these values back into the equation:
3 - 1 + 2 = 4.
Therefore, 3tg45° - √3ctg60° + 4sin30° = 4.
Let's break this down step by step and simplify each term.
We know that tangent is the reciprocal of cotangent, so we have ctg(60°) = 1/tg(60°).3tg(45°) = 3tan(45°) = 3.
√3 ctg(60°) = √3 / tan(60°) = √3 / √3 = 1.
4sin(30°) = 4*0.5 = 2.
Now, let's substitute these values back into the equation:
3 - 1 + 2 = 4.
Therefore, 3tg45° - √3ctg60° + 4sin30° = 4.