Evaluate tan(3)

Problem

tan(3)

Solution

1. Identify the input value for the tangent function. The value is 3 radians.

2. Determine the quadrant of the angle. Since π/2<3<π (approximately 1.57<3<3.14, the angle is in the second quadrant.

3. Calculate the numerical value using a calculator or trigonometric tables. The tangent of 3 radians is a negative value because tangent is negative in the second quadrant.

4. Round the result to a standard number of decimal places, typically four.

Final Answer

tan(3)≈−0.1425

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