Cot 10 Degrees

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

What is cot 10°?

Answer

cot 10° ≈
5.6713

Angle in radians: 10° = π/18. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 10° can't be written with square roots: 10° is not a multiple of 3°.

cot 10° = cos 10° / sin 10° ≈ 5.6713

xyOP

P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

C(cot 10°, 1) ≈ (5.6713, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 10°
FunctionExact valueDecimal
sin 10°—≈ 0.1736
cos 10°—≈ 0.9848
tan 10°—≈ 0.1763
cot 10°—≈ 5.6713

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
7°≈ 8.1443
8°≈ 7.1154
9°≈ 6.3138
10°≈ 5.6713
11°≈ 5.1446
12°≈ 4.7046
13°≈ 4.3315

FAQ

What is cot 10°?

cot 10° ≈ 5.6713

Why does cot 10° 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°. 10° is not, so no such exact form exists; the value is used as a decimal: cot 10° ≈ 5.6713.

Why does a calculator show 1.5424 for cot 10?

The calculator is in radian mode (RAD): it takes cot 10 as the cotangent of 10 radians, cot 10 rad ≈ 1.5424. Switch it to degrees (DEG): cot 10° ≈ 5.6713. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also