Question

6cos 30° - 3tg 60° + 2sin 45.; Вычислить

Answer 1

Ответ:

Объяснение: 2 · √3/2 - 3·√3  +2· √2/2 =( 2√3 - 6√3 + √2)/2 = (-4√3+√2)/2

Answer 2

To calculate the expression, we need to find the values of trigonometric functions at specific angles. Let's calculate each term step-by-step:

1. 6cos 30°: The cosine of 30 degrees is √3/2. So, 6cos 30° = 6 * (√3/2) = 3√3.

2. 3tg 60°: The tangent of 60 degrees is √3. So, 3tg 60° = 3 * √3 = 3√3.

3. 2sin 45°: The sine of 45 degrees is √2/2. So, 2sin 45° = 2 * (√2/2) = √2.

Now, let's add up the results:

6cos 30° - 3tg 60° + 2sin 45° = 3√3 - 3√3 + √2 = 0 + √2 = √2.

Therefore, the final result is √2.