Question

2sin45°-4cos30°=5sin30°-ctg45°=6ctg60°-2sin60°=

Answer 1

Решение смотрите на фото.

Answer 2

Let's solve each equation step by step:

1. 2sin45° - 4cos30°:

To solve this, we can use the values of sin and cos for 45° and 30°. The sine and cosine values for these angles are √2/2 and √3/2, respectively.

Substituting the values into the equation:

2(√2/2) - 4(√3/2) = √2 - 2√3

So, 2sin45° - 4cos30° = √2 - 2√3.

2. 5sin30° - ctg45°:

The sine value for 30° is 1/2, and the cotangent value for 45° is 1.

Substituting the values into the equation:

5(1/2) - 1 = 5/2 - 1 = 3/2

So, 5sin30° - ctg45° = 3/2.

3. 6ctg60° - 2sin60°:

The cotangent value for 60° is 1/√3, and the sine value for 60° is √3/2.

Substituting the values into the equation:

6(1/√3) - 2(√3/2) = 6/√3 - √3 = (6 - √3√3)/(√3) = (6 - 3)/(√3) = 3/(√3) = √3

So, 6ctg60° - 2sin60° = √3.

To summarize:

2sin45° - 4cos30° = √2 - 2√3 5sin30° - ctg45° = 3/2 6ctg60° - 2sin60° = √3