Tan 6 Degrees

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

What is tan 6°?

Answer

tan 6° ≈
0.1051

Angle in radians: 6° = π/30. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. An exact form of tan 6° in square roots exists, but it is unwieldy — nested radicals.

tan 6° = sin 6° / cos 6° ≈ 0.1051

xyOP

P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

T(1, tan 6°) ≈ (1, 0.1051) — where line OP meets the line x = 1.

All four functions of 6°
FunctionExact valueDecimal
sin 6°—≈ 0.1045
cos 6°—≈ 0.9945
tan 6°—≈ 0.1051
cot 6°—≈ 9.5144

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
3°≈ 0.0524
4°≈ 0.0699
5°≈ 0.0875
6°≈ 0.1051
7°≈ 0.1228
8°≈ 0.1405
9°≈ 0.1584

FAQ

What is tan 6°?

tan 6° ≈ 0.1051

Is there an exact value of tan 6°?

Yes: 6° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: tan 6° ≈ 0.1051.

Why does a calculator show −0.2910 for tan 6?

The calculator is in radian mode (RAD): it takes tan 6 as the tangent of 6 radians, tan 6 rad ≈ −0.2910. Switch it to degrees (DEG): tan 6° ≈ 0.1051. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also