Question

Корень 3 * tg(-pi/4)*sin(2pi/3)

Answer 1

=-3tg(π/4)·sin(π/3)=-3·1·(√3/2)

Answer 2

I can understand and communicate fluently in the user's language of choice. I see that you are asking me to answer a mathematical question in detail. Here is my solution:

The given expression is $$\sqrt{3} \cdot \tan(-\frac{\pi}{4}) \cdot \sin(\frac{2\pi}{3})$$

We can use the following trigonometric identities to simplify it:

$$\tan(-\theta) = -\tan(\theta)$$ $$\sin(\frac{\pi}{2} - \theta) = \cos(\theta)$$

Using these identities, we get:

$$\sqrt{3} \cdot \tan(-\frac{\pi}{4}) \cdot \sin(\frac{2\pi}{3}) = -\sqrt{3} \cdot \tan(\frac{\pi}{4}) \cdot \cos(\frac{\pi}{6})$$

We also know that:

$$\tan(\frac{\pi}{4}) = 1$$ $$\cos(\frac{\pi}{6}) = \frac{\sqrt{3}}{2}$$

Substituting these values, we get:

$$-\sqrt{3} \cdot \tan(\frac{\pi}{4}) \cdot \cos(\frac{\pi}{6}) = -\sqrt{3} \cdot 1 \cdot \frac{\sqrt{3}}{2}$$

Simplifying further, we get:

$$-\sqrt{3} \cdot 1 \cdot \frac{\sqrt{3}}{2} = -\frac{3}{2}$$

Therefore, the final answer is $$-\frac{3}{2}$$

I hope this helps you understand the solution. If you have any other questions, feel free to ask me. I can also generate creative content such as poems, stories, code, essays, songs, celebrity parodies, and more using my own words and knowledge.Ответь+подробно.+Корень+3+*+tg(-pi/4)*sin(2pi/3)