Find the Exact Value tan(-300 degrees )

Problem

tan(−300)

Solution

1. Find a coterminal angle by adding 360 to the given angle to find its equivalent position within the standard 0 to 360 range.

−300+360=60

2. Identify the reference angle and the quadrant. Since 60 is in the first quadrant, the reference angle is 60

θ=60

3. Determine the sign of the tangent function in the first quadrant. In Quadrant I, all trigonometric functions are positive.

tan(60)>0

4. Evaluate the tangent of the reference angle using the known values for special angles.

tan(60)=√(,3)

Final Answer

tan(−300)=√(,3)

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