Question

6sin п/6-2cos п/6+ tg п/3 найти значение

Answer 1

Відповідь: 3

Покрокове пояснення:

Answer 2

To find the value of the expression 6sin(π/6) - 2cos(π/6) + tan(π/3), we can use the trigonometric identities and calculate the values of sine, cosine, and tangent for the given angles.

First, let's evaluate the trigonometric functions for the angles involved:

sin(π/6) = 1/2 cos(π/6) = √3/2 tan(π/3) = √3

Now, substitute these values into the expression:

6sin(π/6) - 2cos(π/6) + tan(π/3) = 6 * (1/2) - 2 * (√3/2) + √3 = 3 - √3 + √3 = 3

Therefore, the value of the expression 6sin(π/6) - 2cos(π/6) + tan(π/3) is 3.