Question

Вычислите: 2cos150 * sin150​

Answer 1

Объяснение:

2cos150*sin150=sin300=-sqrt3/2

Answer 2

соs150= -cos30= -√3/2

sin150= sin 30= 1/2

2* -√3/2*1/2=   -√3/2

Answer 3

To calculate the value of the expression 2cos(150°) * sin(150°), we need to use trigonometric identities.

First, let's convert the angles to radians since trigonometric functions generally work with radians:

1 degree ≈ 0.0174533 radians

So, 150° ≈ 150 * 0.0174533 ≈ 2.61799 radians

Now, we can use the trigonometric identities:

cos(150°) = cos(2.61799) ≈ -0.8660254 sin(150°) = sin(2.61799) ≈ 0.5

Now, we can substitute these values into the expression:

2 * cos(150°) * sin(150°) ≈ 2 * (-0.8660254) * 0.5 ≈ -0.8660254

Therefore, the value of the expression is approximately -0.8660254.