Cot 100 Degrees

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

What is cot 100°?

Answer

cot 100° ≈
−0.1763

Angle in radians: 100° = 5π/9. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 100° can't be written with square roots: 100° is not a multiple of 3°.

cot 100° = cot(180° − 80°) = −cot 80° ≈ −0.1763

cot 100° = cos 100° / sin 100° ≈ −0.1763

xyOP

P(cos 100°, sin 100°) ≈ (−0.1736, 0.9848)

C(cot 100°, 1) ≈ (−0.1763, 1) — where line OP meets the line y = 1.

All four functions of 100°
FunctionExact valueDecimal
sin 100°—≈ 0.9848
cos 100°—≈ −0.1736
tan 100°—≈ −5.6713
cot 100°—≈ −0.1763

Reference angle: cot 80° ≈ 0.1763

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
90°0
97°≈ −0.1228
98°≈ −0.1405
100°≈ −0.1763
101°≈ −0.1944
105°√3 − 2
106°≈ −0.2867

FAQ

What is cot 100°?

cot 100° ≈ −0.1763

Why does cot 100° 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°. 100° is not, so no such exact form exists; the value is used as a decimal: cot 100° ≈ −0.1763.

Why does a calculator show −1.7030 for cot 100?

The calculator is in radian mode (RAD): it takes cot 100 as the cotangent of 100 radians, cot 100 rad ≈ −1.7030. Switch it to degrees (DEG): cot 100° ≈ −0.1763. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also