Cot 23 Degrees

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

What is cot 23°?

Answer

cot 23° ≈
2.3559

Angle in radians: 23° = 23π/180. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 23° can't be written with square roots: 23° is not a multiple of 3°.

cot 23° = cos 23° / sin 23° ≈ 2.3559

xyOP

P(cos 23°, sin 23°) ≈ (0.9205, 0.3907)

C(cot 23°, 1) ≈ (2.3559, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 23°
FunctionExact valueDecimal
sin 23°—≈ 0.3907
cos 23°—≈ 0.9205
tan 23°—≈ 0.4245
cot 23°—≈ 2.3559

See Also

FAQ

What is cot 23°?

cot 23° ≈ 2.3559

Why does cot 23° 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°. 23° is not, so no such exact form exists; the value is used as a decimal: cot 23° ≈ 2.3559.

Why does a calculator show 0.6297 for cot 23?

The calculator is in radian mode (RAD): it takes cot 23 as the cotangent of 23 radians, cot 23 rad ≈ 0.6297. Switch it to degrees (DEG): cot 23° ≈ 2.3559. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.