Cot 3 Degrees

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

What is cot 3°?

Answer

cot 3° ≈
19.0811

Angle in radians: 3° = π/60. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 3° in square roots exists, but it is unwieldy — nested radicals.

cot 3° = cos 3° / sin 3° ≈ 19.0811

xyOP

P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

C(cot 3°, 1) ≈ (19.0811, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 3°
FunctionExact valueDecimal
sin 3°—≈ 0.0523
cos 3°—≈ 0.9986
tan 3°—≈ 0.0524
cot 3°—≈ 19.0811

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
0°undefined
1°≈ 57.2900
2°≈ 28.6363
3°≈ 19.0811
4°≈ 14.3007
5°≈ 11.4301
6°≈ 9.5144

FAQ

What is cot 3°?

cot 3° ≈ 19.0811

Is there an exact value of cot 3°?

Yes: 3° 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 3° ≈ 19.0811.

Why does a calculator show −7.0153 for cot 3?

The calculator is in radian mode (RAD): it takes cot 3 as the cotangent of 3 radians, cot 3 rad ≈ −7.0153. Switch it to degrees (DEG): cot 3° ≈ 19.0811. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also