Evaluate cot(1)

Problem

cot(1)

Solution

1. Identify the expression as the cotangent of 1 radian.

2. Recall the definition of the cotangent function in terms of sine and cosine.

cot(x)=cos(x)/sin(x)

3. Substitute the value x=1 into the definition.

cot(1)=cos(1)/sin(1)

4. Approximate the values of cos(1) and sin(1) using a calculator (where 1 is in radians).

cos(1)≈0.5403023

sin(1)≈0.8414710

5. Divide the cosine value by the sine value to find the numerical approximation.

cot(1)≈0.6420926

Final Answer

cot(1)≈0.6420926

Want more problems? Check here!