Cot 52 Degrees

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

What is cot 52°?

Answer

cot 52° ≈
0.7813

Angle in radians: 52° = 13π/45. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 52° can't be written with square roots: 52° is not a multiple of 3°.

cot 52° = cos 52° / sin 52° ≈ 0.7813

xyOP

P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

C(cot 52°, 1) ≈ (0.7813, 1) — where line OP meets the line y = 1.

All four functions of 52°
FunctionExact valueDecimal
sin 52°—≈ 0.7880
cos 52°—≈ 0.6157
tan 52°—≈ 1.2799
cot 52°—≈ 0.7813

See Also

FAQ

What is cot 52°?

cot 52° ≈ 0.7813

Why does cot 52° 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°. 52° is not, so no such exact form exists; the value is used as a decimal: cot 52° ≈ 0.7813.

Why does a calculator show −0.1652 for cot 52?

The calculator is in radian mode (RAD): it takes cot 52 as the cotangent of 52 radians, cot 52 rad ≈ −0.1652. Switch it to degrees (DEG): cot 52° ≈ 0.7813. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.