Cot 13 Degrees

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

What is cot 13°?

Answer

cot 13° ≈
4.3315

Angle in radians: 13° = 13π/180. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 13° can't be written with square roots: 13° is not a multiple of 3°.

cot 13° = cos 13° / sin 13° ≈ 4.3315

xyOP

P(cos 13°, sin 13°) ≈ (0.9744, 0.2250)

C(cot 13°, 1) ≈ (4.3315, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 13°
FunctionExact valueDecimal
sin 13°—≈ 0.2250
cos 13°—≈ 0.9744
tan 13°—≈ 0.2309
cot 13°—≈ 4.3315

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
10°≈ 5.6713
11°≈ 5.1446
12°≈ 4.7046
13°≈ 4.3315
14°≈ 4.0108
15°2 + √3
16°≈ 3.4874

FAQ

What is cot 13°?

cot 13° ≈ 4.3315

Why does cot 13° 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°. 13° is not, so no such exact form exists; the value is used as a decimal: cot 13° ≈ 4.3315.

Why does a calculator show 2.1597 for cot 13?

The calculator is in radian mode (RAD): it takes cot 13 as the cotangent of 13 radians, cot 13 rad ≈ 2.1597. Switch it to degrees (DEG): cot 13° ≈ 4.3315. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also