Cot 12 Degrees

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

What is cot 12°?

Answer

cot 12° ≈
4.7046

Angle in radians: 12° = π/15. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 12° in square roots exists, but it is unwieldy — nested radicals.

cot 12° = cos 12° / sin 12° ≈ 4.7046

xyOP

P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

C(cot 12°, 1) ≈ (4.7046, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 12°
FunctionExact valueDecimal
sin 12°—≈ 0.2079
cos 12°—≈ 0.9781
tan 12°—≈ 0.2126
cot 12°—≈ 4.7046

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
9°≈ 6.3138
10°≈ 5.6713
11°≈ 5.1446
12°≈ 4.7046
13°≈ 4.3315
14°≈ 4.0108
15°2 + √3

FAQ

What is cot 12°?

cot 12° ≈ 4.7046

Is there an exact value of cot 12°?

Yes: 12° 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 12° ≈ 4.7046.

Why does a calculator show −1.5727 for cot 12?

The calculator is in radian mode (RAD): it takes cot 12 as the cotangent of 12 radians, cot 12 rad ≈ −1.5727. Switch it to degrees (DEG): cot 12° ≈ 4.7046. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also