Cot 324 Degrees
Sin, Cos, Tan, Cot of an Angle
What is cot 324°?
Answer
cot 324° =
−√(25 + 10√5)/5 ≈ −1.3764
Angle in radians: 324° = 9π/5. The point of the angle is in quadrant IV, where cotangent is negative.
≈ — rounded to 4 decimal places.
cot 324° = cot(360° − 36°) = −cot 36° = −√(25 + 10√5)/5
cot 324° = cos 324° / sin 324° = ((√5 + 1)/4) / (−√(10 − 2√5)/4) = −√(25 + 10√5)/5
Regular pentagon (golden ratio): cos 36° = (√5 + 1)/4.
cot 36° = cos 36° / sin 36° = √(25 + 10√5)/5
P(cos 324°, sin 324°) ≈ (0.8090, −0.5878)
C(cot 324°, 1) ≈ (−1.3764, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed).
| Function | Exact value | Decimal |
|---|---|---|
| sin 324° | −√(10 − 2√5)/4 | ≈ −0.5878 |
| cos 324° | (√5 + 1)/4 | ≈ 0.8090 |
| tan 324° | −√(5 − 2√5) | ≈ −0.7265 |
| cot 324° | −√(25 + 10√5)/5 | ≈ −1.3764 |
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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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