Question

2sin60°+ctg30°-2tg45°

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

To simplify the expression 2sin(60°) + cot(30°) - 2tan(45°), we can use trigonometric identities and values:

1. First, let's find the values of the trigonometric functions for the given angles:

   • sin(60°) = √3/2
   • cot(30°) = 1/tan(30°) = 1/√3
   • tan(45°) = 1

2. Substitute these values into the expression: 2(√3/2) + (1/√3) - 2(1)

3. Now, simplify each term separately:

   • 2(√3/2) = √3
   • (1/√3) = √3/3

4. Substitute the simplified values back into the expression: √3 + √3/3 - 2

5. Combine the terms with √3: (√3 + √3/3) - 2

6. Find a common denominator and simplify: (3√3 + √3)/3 - 2

7. Combine the fractions: (4√3 - 6)/3

So, the simplified expression is (4√3 - 6)/3.