Cot 106 Degrees

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

What is cot 106°?

Answer

cot 106° ≈
−0.2867

Angle in radians: 106° = 53π/90. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 106° can't be written with square roots: 106° is not a multiple of 3°.

cot 106° = cot(180° − 74°) = −cot 74° ≈ −0.2867

cot 106° = cos 106° / sin 106° ≈ −0.2867

xyOP

P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

C(cot 106°, 1) ≈ (−0.2867, 1) — where line OP meets the line y = 1.

All four functions of 106°
FunctionExact valueDecimal
sin 106°—≈ 0.9613
cos 106°—≈ −0.2756
tan 106°—≈ −3.4874
cot 106°—≈ −0.2867

Reference angle: cot 74° ≈ 0.2867

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
100°≈ −0.1763
101°≈ −0.1944
105°√3 − 2
106°≈ −0.2867
108°−√(25 − 10√5)/5
110°≈ −0.3640
120°−√3/3

FAQ

What is cot 106°?

cot 106° ≈ −0.2867

Why does cot 106° 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°. 106° is not, so no such exact form exists; the value is used as a decimal: cot 106° ≈ −0.2867.

Why does a calculator show −0.9441 for cot 106?

The calculator is in radian mode (RAD): it takes cot 106 as the cotangent of 106 radians, cot 106 rad ≈ −0.9441. Switch it to degrees (DEG): cot 106° ≈ −0.2867. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also