Find the Exact Value tan(-210 degrees )

Problem

tan(−210)

Solution

1. Use the odd-even property of the tangent function, which states that tan(−θ)=−tan(θ)

tan(−210)=−tan(210)

2. Find the reference angle for 210 Since 210 is in the third quadrant, subtract 180 from the angle.

Reference Angle=210−180=30

3. Determine the sign of the tangent function in the third quadrant. Tangent is positive in the third quadrant.

tan(210)=tan(30)

4. Substitute the known value for tan(30) which is √(,3)/3

tan(210)=√(,3)/3

5. Apply the negative sign from the first step to find the final value.

−tan(210)=−√(,3)/3

Final Answer

tan(−210)=−√(,3)/3

Want more problems? Check here!