Question

Sin пи/3+√2cosпи/4-√3ctgпи/6

Answer 1

1/2+1-3=-1,5
Sin pi/3=1/2
Cos pi/4=корень из 2/2
ctg pi/6=корень из 3

Answer 2

Let's break down the expression step by step:

sin(π/3) can be calculated by finding the sine of π/3, which is equal to √3/2.

cos(π/4) can be calculated by finding the cosine of π/4, which is equal to √2/2.

ctg(π/6) is the cotangent of π/6, which is the reciprocal of the tangent of π/6. The tangent of π/6 is √3/3, so the cotangent is equal to 1/(√3/3) = √3/3.

Now we can substitute these values into the expression:

√3/2 + √2/2 - √3/3

To simplify the expression, we need to find a common denominator for the fractions. The common denominator is 6, so we can rewrite the expression as:

(3√3 + 3√2 - 2√3) / 6

Combining like terms:

(√3 + 3√2) / 6

So, the simplified expression is (√3 + 3√2) / 6.