Tan 234 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 234°?
Answer
tan 234° =
√(25 + 10√5)/5 ≈ 1.3764
Angle in radians: 234° = 13π/10. The point of the angle is in quadrant III, where tangent is positive.
≈ — rounded to 4 decimal places.
tan 234° = tan(180° + 54°) = tan 54° = √(25 + 10√5)/5
tan 234° = sin 234° / cos 234° = (−(√5 + 1)/4) / (−√(10 − 2√5)/4) = √(25 + 10√5)/5
Regular pentagon (golden ratio): cos 36° = (√5 + 1)/4.
tan 54° = cot 36° = cos 36° / sin 36° = √(25 + 10√5)/5
P(cos 234°, sin 234°) ≈ (−0.5878, −0.8090)
T(1, tan 234°) ≈ (1, 1.3764) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).
| Function | Exact value | Decimal |
|---|---|---|
| sin 234° | −(√5 + 1)/4 | ≈ −0.8090 |
| cos 234° | −√(10 − 2√5)/4 | ≈ −0.5878 |
| tan 234° | √(25 + 10√5)/5 | ≈ 1.3764 |
| cot 234° | √(5 − 2√5) | ≈ 0.7265 |
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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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