Cot 227 Degrees

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

What is cot 227°?

Answer

cot 227° ≈
0.9325

Angle in radians: 227° = 227π/180. The point of the angle is in quadrant III, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 227° can't be written with square roots: 227° is not a multiple of 3°.

cot 227° = cot(180° + 47°) = cot 47° ≈ 0.9325

cot 227° = cos 227° / sin 227° ≈ 0.9325

xyOP

P(cos 227°, sin 227°) ≈ (−0.6820, −0.7314)

C(cot 227°, 1) ≈ (0.9325, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed).

All four functions of 227°
FunctionExact valueDecimal
sin 227°—≈ −0.7314
cos 227°—≈ −0.6820
tan 227°—≈ 1.0724
cot 227°—≈ 0.9325

Reference angle: cot 47° ≈ 0.9325

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
215°≈ 1.4281
216°√(25 + 10√5)/5
225°1
227°≈ 0.9325
234°√(5 − 2√5)
240°√3/3
252°√(25 − 10√5)/5

FAQ

What is cot 227°?

cot 227° ≈ 0.9325

Why does cot 227° 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°. 227° is not, so no such exact form exists; the value is used as a decimal: cot 227° ≈ 0.9325.

Why does a calculator show 0.9609 for cot 227?

The calculator is in radian mode (RAD): it takes cot 227 as the cotangent of 227 radians, cot 227 rad ≈ 0.9609. Switch it to degrees (DEG): cot 227° ≈ 0.9325. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also