Tan 11 Degrees

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

What is tan 11°?

Answer

tan 11° ≈
0.1944

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

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

tan 11° = sin 11° / cos 11° ≈ 0.1944

xyOP

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

T(1, tan 11°) ≈ (1, 0.1944) — where line OP meets the line x = 1.

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 tan 11°?

tan 11° ≈ 0.1944

Why does tan 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: tan 11° ≈ 0.1944.

Why does a calculator show −225.9508 for tan 11?

The calculator is in radian mode (RAD): it takes tan 11 as the tangent of 11 radians, tan 11 rad ≈ −225.9508. Switch it to degrees (DEG): tan 11° ≈ 0.1944. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.