Question

√2.cos 45 ˚ + sin 60 ˚ - 3 tg 30 ˚ - cotg 45 ˚

Answer 1

Решение задания прилагаю

Answer 2

Let's break down the expression step by step:

1. √2.cos(45°): The cosine of 45 degrees is 1/√2. So, √2.cos(45°) = √2 * (1/√2) = 1.

2. sin(60°): The sine of 60 degrees is √3/2.

3. 3 * tan(30°): The tangent of 30 degrees is 1/√3. So, 3 * tan(30°) = 3 * (1/√3) = √3.

4. cot(45°): The cotangent of 45 degrees is 1.

Now, let's substitute these values back into the original expression:

1 + √3 - √3 - 1 = 0.

So, the final value of the expression is 0.