55) 4tg60° * sin 60°

Let's evaluate the expression step by step. First, we need to know the values of the trigonometric functions for the given angles: * tan 60° = √3 * sin 60° = √3/2 Now, substitute these values into the expression: $$4 \cdot \tan 60^\circ \cdot \sin 60^\circ = 4 \cdot \sqrt{3} \cdot \frac{\sqrt{3}}{2}$$ Perform the multiplications: $$= 4 \cdot \frac{3}{2}$$ $$= \frac{12}{2}$$ $$= 6$$ So, the result of the expression is 6. Answer: 6