Question

Срочно! вычислите sin(π/4)+cos(π/3)-tg(π/3) / ctg(π/6)-sin(π/6)-cos(π/4)

Answer 1

Sin (p/4) + cos (p/3) - tg (p/3)/ctg (p/6) - sin (p/6) - cos (p/4) = (корень из 2)/2 + 1/2 - (1/(корень из 3))/(1/(корень из 3)) - 1/2 - (корень из 2)/2 = - 1
Ответ: - 1.

Answer 2

Sure, let's calculate the expression step by step:

1. sin(π/4) = √2/2
2. cos(π/3) = 1/2
3. tg(π/3) = √3
4. ctg(π/6) = √3

Now, we can substitute these values into the expression:

(√2/2) + (1/2) - (√3) / (√3) - (√2/2) - (1/2)

Next, let's simplify:

1. (√2/2) + (1/2) = (1 + √2) / 2
2. (√3) / (√3) = 1
3. (√2/2) + (1/2) = (1 + √2) / 2

Now the expression becomes:

(1 + √2)/2 - 1 / (1 + √2)/2

To divide by a fraction, we can multiply by its reciprocal:

= (1 + √2)/2 * 2/(1 + √2)

Now, the common term (1 + √2) cancels out:

= 2/2

Finally, the result is 1.

So, the answer to the expression is 1.