Sin 11 Degrees

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

What is sin 11°?

Answer

sin 11° ≈
0.1908

Angle in radians: 11° = 11π/180. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 11° can't be written with square roots: 11° is not a multiple of 3°.

P(cos 11°, sin 11°) ≈ (0.9816, 0.1908)

xyOP

P(cos 11°, sin 11°) ≈ (0.9816, 0.1908)

Highlighted: the projection on the y-axis — sine, y ≈ 0.1908.

All four functions of 11°
FunctionExact valueDecimal
sin 11°—≈ 0.1908
cos 11°—≈ 0.9816
tan 11°—≈ 0.1944
cot 11°—≈ 5.1446

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
8°≈ 0.1392
9°≈ 0.1564
10°≈ 0.1736
11°≈ 0.1908
12°≈ 0.2079
13°≈ 0.2250
14°≈ 0.2419

FAQ

What is sin 11°?

sin 11° ≈ 0.1908

Why does sin 11° 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°. 11° is not, so no such exact form exists; the value is used as a decimal: sin 11° ≈ 0.1908.

Why does a calculator show −1.0000 for sin 11?

The calculator is in radian mode (RAD): it takes sin 11 as the sine of 11 radians, sin 11 rad ≈ −1.0000. Switch it to degrees (DEG): sin 11° ≈ 0.1908. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also