Sin 324 Degrees
Sin, Cos, Tan, Cot of an Angle
What is sin 324°?
Answer
sin 324° =
−√(10 − 2√5)/4 ≈ −0.5878
Angle in radians: 324° = 9π/5. The point of the angle is in quadrant IV, where sine is negative.
≈ — rounded to 4 decimal places.
sin 324° = sin(360° − 36°) = −sin 36° = −√(10 − 2√5)/4
P(cos 324°, sin 324°) = ((√5 + 1)/4, −√(10 − 2√5)/4)
Regular pentagon (golden ratio): cos 36° = (√5 + 1)/4.
sin 36° = √(1 − cos² 36°) = √(10 − 2√5)/4
P(cos 324°, sin 324°) ≈ (0.8090, −0.5878)
Highlighted: the projection on the y-axis — sine, y ≈ −0.5878.
| 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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