Cot 140 Degrees

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

What is cot 140°?

Answer

cot 140° ≈
−1.1918

Angle in radians: 140° = 7π/9. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 140° can't be written with square roots: 140° is not a multiple of 3°.

cot 140° = cot(180° − 40°) = −cot 40° ≈ −1.1918

cot 140° = cos 140° / sin 140° ≈ −1.1918

xyOP

P(cos 140°, sin 140°) ≈ (−0.7660, 0.6428)

C(cot 140°, 1) ≈ (−1.1918, 1) — where line OP meets the line y = 1.

All four functions of 140°
FunctionExact valueDecimal
sin 140°—≈ 0.6428
cos 140°—≈ −0.7660
tan 140°—≈ −0.8391
cot 140°—≈ −1.1918

Reference angle: cot 40° ≈ 1.1918

See Also

FAQ

What is cot 140°?

cot 140° ≈ −1.1918

Why does cot 140° 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°. 140° is not, so no such exact form exists; the value is used as a decimal: cot 140° ≈ −1.1918.

Why does a calculator show −0.2018 for cot 140?

The calculator is in radian mode (RAD): it takes cot 140 as the cotangent of 140 radians, cot 140 rad ≈ −0.2018. Switch it to degrees (DEG): cot 140° ≈ −1.1918. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.