Cot 8 Degrees

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

What is cot 8°?

Answer

cot 8° ≈
7.1154

Angle in radians: 8° = 2π/45. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 8° can't be written with square roots: 8° is not a multiple of 3°.

cot 8° = cos 8° / sin 8° ≈ 7.1154

xyOP

P(cos 8°, sin 8°) ≈ (0.9903, 0.1392)

C(cot 8°, 1) ≈ (7.1154, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 8°
FunctionExact valueDecimal
sin 8°—≈ 0.1392
cos 8°—≈ 0.9903
tan 8°—≈ 0.1405
cot 8°—≈ 7.1154

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
5°≈ 11.4301
6°≈ 9.5144
7°≈ 8.1443
8°≈ 7.1154
9°≈ 6.3138
10°≈ 5.6713
11°≈ 5.1446

FAQ

What is cot 8°?

cot 8° ≈ 7.1154

Why does cot 8° 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°. 8° is not, so no such exact form exists; the value is used as a decimal: cot 8° ≈ 7.1154.

Why does a calculator show −0.1471 for cot 8?

The calculator is in radian mode (RAD): it takes cot 8 as the cotangent of 8 radians, cot 8 rad ≈ −0.1471. Switch it to degrees (DEG): cot 8° ≈ 7.1154. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also