Question

3 sin п/6+2cosп+ctg^2п/6

Answer 1

3*1/2+2*(-1)+1/√3=1,5-2+√3/3=√3/3-0,5

Answer 2

Calculating the Expression

To calculate the expression 3sin(π/6) + 2cos(π) + ctg^2(π/6), we can break it down step by step.

First, let's calculate the values of sin(π/6), cos(π), and ctg(π/6) (cotangent of π/6).

1. sin(π/6): Using the trigonometric identity, sin(π/6) = 1/2.

2. cos(π): Using the trigonometric identity, cos(π) = -1.

3. ctg(π/6): The cotangent of π/6 can be calculated as the reciprocal of the tangent of π/6. The tangent of π/6 is √3/3, so the cotangent of π/6 is 1/(√3/3) = √3.

Now, we can substitute these values back into the original expression and calculate it.

3sin(π/6) + 2cos(π) + ctg^2(π/6) = 3*(1/2) + 2*(-1) + (√3)^2 = 3/2 - 2 + 3 = 7/2

So, the value of the expression 3sin(π/6) + 2cos(π) + ctg^2(π/6) is 7/2.