Question

ДАМ 45 баллов Вычислите 13/p*arcctg(ctg(14*p/13))

Answer 1

Арккотангенс можем принимать значения от 0 до π

Answer 2

13/пи*(14пи/13-пи)=13/пи*пи/13=1
Элементарно Ватсон

Answer 3

To calculate the expression 13/p * arcctg(ctg(14*p/13)), we need to simplify it step by step.

1. First, let's simplify the innermost function: ctg(x) = 1 / tan(x)

2. Now, we can rewrite the expression as: 13/p * arcctg(1 / tan(14*p/13))

3. The arcctg function is the inverse cotangent function (arccot or arctan(1/x)), which means arcctg(1/x) = arctan(x).

4. So, the expression becomes: 13/p * arctan(tan(14*p/13))

5. Since arctan and tan are inverse functions, they cancel each other out, leaving us with: 13/p * (14*p/13)

6. Now, we can simplify further by canceling out the common factor of 13: (13 * 14 * p) / (p * 13) = 14

Therefore, the result of the expression is 14.