Sin 56 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is sin 56°?

Answer

sin 56° ≈
0.8290

Angle in radians: 56° = 14π/45. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 56° can't be written with square roots: 56° is not a multiple of 3°.

P(cos 56°, sin 56°) ≈ (0.5592, 0.8290)

xyOP

P(cos 56°, sin 56°) ≈ (0.5592, 0.8290)

Highlighted: the projection on the y-axis — sine, y ≈ 0.8290.

All four functions of 56°
FunctionExact valueDecimal
sin 56°—≈ 0.8290
cos 56°—≈ 0.5592
tan 56°—≈ 1.4826
cot 56°—≈ 0.6745

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
53°≈ 0.7986
54°(√5 + 1)/4
55°≈ 0.8192
56°≈ 0.8290
57°≈ 0.8387
58°≈ 0.8480
59°≈ 0.8572

FAQ

What is sin 56°?

sin 56° ≈ 0.8290

Why does sin 56° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 56° is not, so no such exact form exists; the value is used as a decimal: sin 56° ≈ 0.8290.

Why does a calculator show −0.5216 for sin 56?

The calculator is in radian mode (RAD): it takes sin 56 as the sine of 56 radians, sin 56 rad ≈ −0.5216. Switch it to degrees (DEG): sin 56° ≈ 0.8290. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also