Question

2sin60°•tg60°tg²45°+cos60°4(sin²45°+cos²45°)tg30°•cos30°​

Answer 1

1)

$2 \times \frac{ \sqrt{3} }{2} \times \sqrt{3} = \sqrt{3} \sqrt{3} = 3$

2)

$1 {}^{2} + \frac{1}{2} = 1 + \frac{1}{2} = \frac{3}{2}$

3)

4•1=4

4)

$\frac{ \sqrt{3} }{3} \times \frac{ \sqrt{3} }{2} = \frac{3}{6} = \frac{1}{2}$

Объяснение:

просто продолжи

Answer 2

Let's break down the expression step by step:

1. First, let's simplify the trigonometric expressions:

   • $\sin 60° = \frac{\sqrt{3}}{2}$
   • $\tan 60° = \sqrt{3}$
   • $\tan^2 45° = 1$
   • $\cos 60° = \frac{1}{2}$
   • $\sin^2 45° = \frac{1}{2}$
   • $\cos^2 45° = \frac{1}{2}$
   • $\tan 30° = \frac{1}{\sqrt{3}}$
   • $\cos 30° = \frac{\sqrt{3}}{2}$

2. Now, substitute these values into the expression:

$$2\left(\frac{\sqrt{3}}{2}\right) \cdot \sqrt{3} \cdot 1 \cdot \frac{1}{\sqrt{3}} \cdot \frac{1}{\sqrt{3}} + \frac{1}{2} \cdot 4 \left(\frac{1}{2} + \frac{1}{2}\right) \cdot \frac{\sqrt{3}}{2} \cdot \frac{\sqrt{3}}{2}$$

3. Simplify each part of the expression:

$$\sqrt{3} \cdot \sqrt{3} + 1 \cdot 2 \cdot \frac{1}{2} \cdot \frac{3}{2} = 3 + \frac{3}{2} = \frac{9}{2}$$

So, the simplified value of the given expression is $\frac{9}{2}$.