Question

С объяснением Вычислить значение ctg2281°

Answer 1

По формулам приведения ctg2281=ctg(360+1921)=ctg1921=ctg(360+1561)=ctg1561=ctg(360+1201)=ctg1201=ctg(360+841)=ctg841=ctg(360+481)=ctg481=ctg(360+121)=ctg121≈-√3/3

Answer 2

To calculate the value of cotangent (ctg) of 2281 degrees, we first need to convert the angle from degrees to radians. The cotangent function is defined as the reciprocal of the tangent function, and we can use the following formula:

ctg(x) = 1 / tan(x)

To convert degrees to radians, we use the following formula:

radians = degrees * (π / 180)

where π (pi) is approximately 3.14159.

Let's calculate ctg(2281°) step by step:

Step 1: Convert degrees to radians radians = 2281° * (π / 180) ≈ 39.8059 radians

Step 2: Calculate the tangent tan(39.8059 radians) ≈ 0.87135

Step 3: Calculate the cotangent ctg(2281°) = 1 / tan(39.8059 radians) ≈ 1.1485

Therefore, the value of ctg(2281°) is approximately 1.1485.