Sin 306 Degrees
Sin, Cos, Tan, Cot of an Angle
What is sin 306°?
Answer
sin 306° =
−(√5 + 1)/4 ≈ −0.8090
Angle in radians: 306° = 17π/10. The point of the angle is in quadrant IV, where sine is negative.
≈ — rounded to 4 decimal places.
sin 306° = sin(360° − 54°) = −sin 54° = −(√5 + 1)/4
P(cos 306°, sin 306°) = (√(10 − 2√5)/4, −(√5 + 1)/4)
Regular pentagon (golden ratio): cos 36° = (√5 + 1)/4.
sin 54° = cos 36° = (√5 + 1)/4
P(cos 306°, sin 306°) ≈ (0.5878, −0.8090)
Highlighted: the projection on the y-axis — sine, y ≈ −0.8090.
| Function | Exact value | Decimal |
|---|---|---|
| sin 306° | −(√5 + 1)/4 | ≈ −0.8090 |
| cos 306° | √(10 − 2√5)/4 | ≈ 0.5878 |
| tan 306° | −√(25 + 10√5)/5 | ≈ −1.3764 |
| cot 306° | −√(5 − 2√5) | ≈ −0.7265 |
Found an error in the calculation or the information?
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
Share This Calculation
Print
<a href="https://calculat.io/en/number/trigonometry/sin--306">Sin 306 Degrees: Sine of 306° on the Unit Circle</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
Sine of nearby angles
| Angle | sin |
|---|---|
| 285° | −(√6 + √2)/4 |
| 288° | −√(10 + 2√5)/4 |
| 300° | −√3/2 |
| 306° | −(√5 + 1)/4 |
| 315° | −√2/2 |
| 324° | −√(10 − 2√5)/4 |
| 330° | −1/2 |