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Which of the following is equivalent to tan(5pi/6)

User Nekto
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The equivalent expression for tan(5π/6) is -√3/3.

To find the equivalent expression for tan(5π/6), we can use the properties of trigonometric functions. The angle 5π/6 is in the second quadrant, where the tangent function is negative. Therefore, we need to find the tangent of the reference angle in the first quadrant.

The reference angle for 5π/6 in the first quadrant is π/6. In the first quadrant, tan(π/6) is equal to √3/3. However, since we are in the second quadrant where tangent is negative, the equivalent expression for tan(5π/6) is -√3/3.

In summary, tan(5π/6) is equivalent to -√3/3. This means that the tangent of the angle 5π/6 is negative, and its magnitude is √3/3.

Complete question should be:

What is the equivalent expression for tan(5π/6)?

User Pierre F
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