Tan 255 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 255°?
Answer
tan 255° =
2 + √3 ≈ 3.7321
Angle in radians: 255° = 17π/12. The point of the angle is in quadrant III, where tangent is positive.
≈ — rounded to 4 decimal places.
tan 255° = tan(180° + 75°) = tan 75° = 2 + √3
tan 255° = sin 255° / cos 255° = (−(√6 + √2)/4) / (−(√6 − √2)/4) = 2 + √3
tan 75° = tan(45° + 30°) = (1 + √3/3) / (1 − √3/3) = 2 + √3
P(cos 255°, sin 255°) ≈ (−0.2588, −0.9659)
T(1, tan 255°) ≈ (1, 3.7321) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed); T is beyond the drawing, the arrow points to it.
| Function | Exact value | Decimal |
|---|---|---|
| sin 255° | −(√6 + √2)/4 | ≈ −0.9659 |
| cos 255° | −(√6 − √2)/4 | ≈ −0.2588 |
| tan 255° | 2 + √3 | ≈ 3.7321 |
| cot 255° | 2 − √3 | ≈ 0.2679 |
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See Also
- Arcsin, Arccos, Arctan, Arccot - The angle from the value of its sine, cosine, tangent or cotangent: exact in degrees and π, with the check and the unit circle
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Geometry Formulas: Area, Volume, Perimeter - The formula for every standard shape, where it comes from, and worked examples
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