Cot 22 Degrees

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

What is cot 22°?

Answer

cot 22° ≈
2.4751

Angle in radians: 22° = 11π/90. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 22° can't be written with square roots: 22° is not a multiple of 3°.

cot 22° = cos 22° / sin 22° ≈ 2.4751

xyOP

P(cos 22°, sin 22°) ≈ (0.9272, 0.3746)

C(cot 22°, 1) ≈ (2.4751, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 22°
FunctionExact valueDecimal
sin 22°—≈ 0.3746
cos 22°—≈ 0.9272
tan 22°—≈ 0.4040
cot 22°—≈ 2.4751

See Also

FAQ

What is cot 22°?

cot 22° ≈ 2.4751

Why does cot 22° 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°. 22° is not, so no such exact form exists; the value is used as a decimal: cot 22° ≈ 2.4751.

Why does a calculator show 112.9732 for cot 22?

The calculator is in radian mode (RAD): it takes cot 22 as the cotangent of 22 radians, cot 22 rad ≈ 112.9732. Switch it to degrees (DEG): cot 22° ≈ 2.4751. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.