Cos 11 Degrees

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

What is cos 11°?

Answer

cos 11° ≈
0.9816

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

≈ — rounded to 4 decimal places. cos 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 x-axis — cosine, x ≈ 0.9816.

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

FAQ

What is cos 11°?

cos 11° ≈ 0.9816

Why does cos 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: cos 11° ≈ 0.9816.

Why does a calculator show 0.0044 for cos 11?

The calculator is in radian mode (RAD): it takes cos 11 as the cosine of 11 radians, cos 11 rad ≈ 0.0044. Switch it to degrees (DEG): cos 11° ≈ 0.9816. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.