Cot 6 Degrees

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

What is cot 6°?

Answer

cot 6° ≈
9.5144

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

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

cot 6° = cos 6° / sin 6° ≈ 9.5144

xyOP

P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

C(cot 6°, 1) ≈ (9.5144, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

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 ↑

Cotangent of nearby angles

Anglecot
3°≈ 19.0811
4°≈ 14.3007
5°≈ 11.4301
6°≈ 9.5144
7°≈ 8.1443
8°≈ 7.1154
9°≈ 6.3138

FAQ

What is cot 6°?

cot 6° ≈ 9.5144

Is there an exact value of cot 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: cot 6° ≈ 9.5144.

Why does a calculator show −3.4364 for cot 6?

The calculator is in radian mode (RAD): it takes cot 6 as the cotangent of 6 radians, cot 6 rad ≈ −3.4364. Switch it to degrees (DEG): cot 6° ≈ 9.5144. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also