Cot 40 Degrees

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

What is cot 40°?

Answer

cot 40° ≈
1.1918

Angle in radians: 40° = 2π/9. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 40° can't be written with square roots: 40° is not a multiple of 3°.

cot 40° = cos 40° / sin 40° ≈ 1.1918

xyOP

P(cos 40°, sin 40°) ≈ (0.7660, 0.6428)

C(cot 40°, 1) ≈ (1.1918, 1) — where line OP meets the line y = 1.

All four functions of 40°
FunctionExact valueDecimal
sin 40°—≈ 0.6428
cos 40°—≈ 0.7660
tan 40°—≈ 0.8391
cot 40°—≈ 1.1918

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
37°≈ 1.3270
38°≈ 1.2799
39°≈ 1.2349
40°≈ 1.1918
41°≈ 1.1504
42°≈ 1.1106
43°≈ 1.0724

FAQ

What is cot 40°?

cot 40° ≈ 1.1918

Why does cot 40° 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°. 40° is not, so no such exact form exists; the value is used as a decimal: cot 40° ≈ 1.1918.

Why does a calculator show −0.8951 for cot 40?

The calculator is in radian mode (RAD): it takes cot 40 as the cotangent of 40 radians, cot 40 rad ≈ −0.8951. Switch it to degrees (DEG): cot 40° ≈ 1.1918. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also