Sin 60 Degrees
Sin, Cos, Tan, Cot of an Angle
What is sin 60°?
Answer
sin 60° =
√3/2 ≈ 0.8660
Angle in radians: 60° = π/3. The point of the angle is in quadrant I, where sine is positive.
≈ — rounded to 4 decimal places.
P(cos 60°, sin 60°) = (1/2, √3/2)
Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.
sin 60° = √(1 − 1/4) = √3/2
P(cos 60°, sin 60°) ≈ (0.5, 0.8660)
Highlighted: the projection on the y-axis — sine, y ≈ 0.8660.
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
Sine of nearby angles
FAQ
What is sin 60°?
sin 60° = √3/2 ≈ 0.8660
How to remember sin 30°, sin 45° and sin 60°?
Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: sin 60° = √3/2 ≈ 0.8660.
Why does a calculator show −0.3048 for sin 60?
The calculator is in radian mode (RAD): it takes sin 60 as the sine of 60 radians, sin 60 rad ≈ −0.3048. Switch it to degrees (DEG): sin 60° = √3/2 ≈ 0.8660. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Sin 50 Degrees: Sine of 50° on the Unit Circle
- Sin 51 Degrees: Sine of 51° on the Unit Circle
- Sin 52 Degrees: Sine of 52° on the Unit Circle
- Sin 53 Degrees: Sine of 53° on the Unit Circle
- Sin 54 Degrees: Sine of 54° on the Unit Circle
- Sin 55 Degrees: Sine of 55° on the Unit Circle
- Sin 56 Degrees: Sine of 56° on the Unit Circle
- Sin 57 Degrees: Sine of 57° on the Unit Circle
- Sin 58 Degrees: Sine of 58° on the Unit Circle
- Sin 59 Degrees: Sine of 59° on the Unit Circle
- Sin 61 Degrees: Sine of 61° on the Unit Circle
- Sin 62 Degrees: Sine of 62° on the Unit Circle
- Sin 63 Degrees: Sine of 63° on the Unit Circle
- Sin 64 Degrees: Sine of 64° on the Unit Circle
- Sin 65 Degrees: Sine of 65° on the Unit Circle
- Sin 66 Degrees: Sine of 66° on the Unit Circle
- Sin 67 Degrees: Sine of 67° on the Unit Circle
- Sin 68 Degrees: Sine of 68° on the Unit Circle
- Sin 69 Degrees: Sine of 69° on the Unit Circle
- Sin 70 Degrees: Sine of 70° on the Unit Circle
- Синус 60 градусов (sin 60°) на единичной окружности
- Seno de 60 grados (sen 60°) en el círculo unitario
- Seno de 60 graus (sen 60°) no ciclo trigonométrico