Question

5sin30°-ctg60°-2sin60°

Answer 1

Обращайся это правильно))

Answer 2

To calculate the expression 5sin30° - ctg60° - 2sin60°, we need to use trigonometric identities and compute the trigonometric functions for the given angles.

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

   • sin(30°) = 0.5 (you can look this up in the unit circle or use a calculator)
   • ctg(60°) = 1 / tan(60°) = 1 / (√3) = √3 / 3 (since tan(60°) = √3)
   • sin(60°) = √3 / 2 (you can look this up in the unit circle or use a calculator)

2. Now, let's substitute these values back into the expression: 5sin30° - ctg60° - 2sin60° = 5 * 0.5 - √3 / 3 - 2 * (√3 / 2) = 2.5 - √3 / 3 - √3 = 2.5 - (1/3)√3 - (3/3)√3 = 2.5 - (4/3)√3

So, the simplified value of the expression 5sin30° - ctg60° - 2sin60° is 2.5 - (4/3)√3.