Find the Value Using the Unit Circle cot(1)

Problem

cot(1)

Solution

1. Identify the input value. The expression cot(1) refers to the cotangent of 1 radian.

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

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

3. Locate the angle on the unit circle. Since 1 radian is approximately 57.3 it lies in the first quadrant.

4. Evaluate using the numerical values for cos(1) and sin(1) in radians.

cos(1)≈0.5403

sin(1)≈0.8415

5. Divide the cosine value by the sine value to find the cotangent.

0.5403/0.8415≈0.6421

Final Answer

cot(1)≈0.6421

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