Cot 342 Degrees
Sin, Cos, Tan, Cot of an Angle
What is cot 342°?
Answer
cot 342° =
−√(5 + 2√5) ≈ −3.0777
Angle in radians: 342° = 19π/10. The point of the angle is in quadrant IV, where cotangent is negative.
≈ — rounded to 4 decimal places.
cot 342° = cot(360° − 18°) = −cot 18° = −√(5 + 2√5)
cot 342° = cos 342° / sin 342° = (√(10 + 2√5)/4) / (−(√5 − 1)/4) = −√(5 + 2√5)
Regular pentagon (golden ratio): cos 36° = (√5 + 1)/4.
cot 18° = cos 18° / sin 18° = √(5 + 2√5)
P(cos 342°, sin 342°) ≈ (0.9511, −0.3090)
C(cot 342°, 1) ≈ (−3.0777, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed); C is beyond the drawing, the arrow points to it.
| Function | Exact value | Decimal |
|---|---|---|
| sin 342° | −(√5 − 1)/4 | ≈ −0.3090 |
| cos 342° | √(10 + 2√5)/4 | ≈ 0.9511 |
| tan 342° | −√(25 − 10√5)/5 | ≈ −0.3249 |
| cot 342° | −√(5 + 2√5) | ≈ −3.0777 |
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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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