Cot 4 Degrees

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

What is cot 4°?

Answer

cot 4° ≈
14.3007

Angle in radians: 4° = π/45. The point of the angle is in quadrant I, where cotangent is positive.

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

cot 4° = cos 4° / sin 4° ≈ 14.3007

xyOP

P(cos 4°, sin 4°) ≈ (0.9976, 0.0698)

C(cot 4°, 1) ≈ (14.3007, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 4°
FunctionExact valueDecimal
sin 4°—≈ 0.0698
cos 4°—≈ 0.9976
tan 4°—≈ 0.0699
cot 4°—≈ 14.3007

See Also

FAQ

What is cot 4°?

cot 4° ≈ 14.3007

Why does cot 4° 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°. 4° is not, so no such exact form exists; the value is used as a decimal: cot 4° ≈ 14.3007.

Why does a calculator show 0.8637 for cot 4?

The calculator is in radian mode (RAD): it takes cot 4 as the cotangent of 4 radians, cot 4 rad ≈ 0.8637. Switch it to degrees (DEG): cot 4° ≈ 14.3007. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.