To find the exact value of tan(240°), we can use the fact that the tangent function has a period of 180°. This means that tan(240°) = tan(240° - 180°) = tan(60°).

In the standard position, an angle of 60° corresponds to a point in the first quadrant where both x and y are positive. Therefore, tan(60°) = √3.

However, an angle of 240° corresponds to a point in the third quadrant where both x and y are negative. Therefore, tan(240°) = -√3.

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To find the exact value of tan(240°), we can use the fact that the tangent function has a period of 180°. This means that tan(240°) = tan(240° - 180°) = tan(60°).

In the standard position, an angle of 60° corresponds to a point in the first quadrant where both x and y are positive. Therefore, tan(60°) = √3.

However, an angle of 240° corresponds to a point in the third quadrant where both x and y are negative. Therefore, tan(240°) = -√3.

Knowee AI · Accepted Answer

To find the exact value of tan(240°), we can use the fact that the tangent function has a period of 180°. This means that tan(240°) = tan(240° - 180°) = tan(60°).

In the standard position, an angle of 60° corresponds to a point in the first quadrant where both x and y are positive. Therefore, tan(60°) = √3.

However, an angle of 240° corresponds to a point in the third quadrant where both x and y are negative. Therefore, tan(240°) = -√3.

Find the exact value of tangent, 240, degreestan240 ∘ in simplest form with a rational denominator.

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