Cot 400 Degrees

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

What is cot 400°?

Answer

cot 400° ≈
1.1918

Angle in radians: 400° = 20π/9. 400° = 360° + 40° — a full turn plus 40°, quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 400° can't be written with square roots: 400° is not a multiple of 3°.

cot 400° = cot(400° − 360°) = cot 40°

cot 400° = cos 400° / sin 400° ≈ 1.1918

xyOP

P(cos 400°, sin 400°) ≈ (0.7660, 0.6428)

C(cot 400°, 1) ≈ (1.1918, 1) — where line OP meets the line y = 1.

+1 turn: the drawing shows 40°.

All four functions of 400°
FunctionExact valueDecimal
sin 400°—≈ 0.6428
cos 400°—≈ 0.7660
tan 400°—≈ 0.8391
cot 400°—≈ 1.1918

Reference angle: cot 40° ≈ 1.1918

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
355°≈ −11.4301
360°undefined
390°√3
400°≈ 1.1918
450°0
540°undefined
570°√3

FAQ

What is cot 400°?

cot 400° ≈ 1.1918

Why does cot 400° 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°. 400° is not, so no such exact form exists; the value is used as a decimal: cot 400° ≈ 1.1918.

Why does a calculator show 0.6173 for cot 400?

The calculator is in radian mode (RAD): it takes cot 400 as the cotangent of 400 radians, cot 400 rad ≈ 0.6173. Switch it to degrees (DEG): cot 400° ≈ 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