Simplify tan(300)

Problem

tan(300)

Solution

1. Identify the reference angle by finding the difference between 300 and the nearest x-axis value, which is 360

Reference Angle=360−300=60

2. Determine the quadrant in which 300 lies. Since 270<300<360 the angle is in Quadrant IV.

3. Apply the sign rule for the tangent function. In Quadrant IV, the tangent function is negative.

tan(300)=−tan(60)

4. Evaluate the tangent of the reference angle using known trigonometric values.

tan(60)=√(,3)

5. Combine the negative sign with the evaluated value.

tan(300)=−√(,3)

Final Answer

tan(300)=−√(,3)

Want more problems? Check here!