Cot 24 Degrees

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

What is cot 24°?

Answer

cot 24° ≈
2.2460

Angle in radians: 24° = 2π/15. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 24° in square roots exists, but it is unwieldy — nested radicals.

cot 24° = cos 24° / sin 24° ≈ 2.2460

xyOP

P(cos 24°, sin 24°) ≈ (0.9135, 0.4067)

C(cot 24°, 1) ≈ (2.2460, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 24°
FunctionExact valueDecimal
sin 24°—≈ 0.4067
cos 24°—≈ 0.9135
tan 24°—≈ 0.4452
cot 24°—≈ 2.2460

See Also

FAQ

What is cot 24°?

cot 24° ≈ 2.2460

Is there an exact value of cot 24°?

Yes: 24° 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 24° ≈ 2.2460.

Why does a calculator show −0.4684 for cot 24?

The calculator is in radian mode (RAD): it takes cot 24 as the cotangent of 24 radians, cot 24 rad ≈ −0.4684. Switch it to degrees (DEG): cot 24° ≈ 2.2460. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.