Cot 198 Degrees
Sin, Cos, Tan, Cot of an Angle
What is cot 198°?
Answer
cot 198° =
√(5 + 2√5) ≈ 3.0777
Angle in radians: 198° = 11π/10. The point of the angle is in quadrant III, where cotangent is positive.
≈ — rounded to 4 decimal places.
cot 198° = cot(180° + 18°) = cot 18° = √(5 + 2√5)
cot 198° = cos 198° / sin 198° = (−√(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 198°, sin 198°) ≈ (−0.9511, −0.3090)
C(cot 198°, 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 198° | −(√5 − 1)/4 | ≈ −0.3090 |
| cos 198° | −√(10 + 2√5)/4 | ≈ −0.9511 |
| tan 198° | √(25 − 10√5)/5 | ≈ 0.3249 |
| cot 198° | √(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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