Cot 5 Degrees

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

What is cot 5°?

Answer

cot 5° ≈
11.4301

Angle in radians: 5° = π/36. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 5° can't be written with square roots: 5° is not a multiple of 3°.

cot 5° = cos 5° / sin 5° ≈ 11.4301

xyOP

P(cos 5°, sin 5°) ≈ (0.9962, 0.0872)

C(cot 5°, 1) ≈ (11.4301, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 5°
FunctionExact valueDecimal
sin 5°—≈ 0.0872
cos 5°—≈ 0.9962
tan 5°—≈ 0.0875
cot 5°—≈ 11.4301

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
2°≈ 28.6363
3°≈ 19.0811
4°≈ 14.3007
5°≈ 11.4301
6°≈ 9.5144
7°≈ 8.1443
8°≈ 7.1154

FAQ

What is cot 5°?

cot 5° ≈ 11.4301

Why does cot 5° 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°. 5° is not, so no such exact form exists; the value is used as a decimal: cot 5° ≈ 11.4301.

Why does a calculator show −0.2958 for cot 5?

The calculator is in radian mode (RAD): it takes cot 5 as the cotangent of 5 radians, cot 5 rad ≈ −0.2958. Switch it to degrees (DEG): cot 5° ≈ 11.4301. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also