Cot 110 Degrees

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

What is cot 110°?

Answer

cot 110° ≈
−0.3640

Angle in radians: 110° = 11π/18. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 110° can't be written with square roots: 110° is not a multiple of 3°.

cot 110° = cot(180° − 70°) = −cot 70° ≈ −0.3640

cot 110° = cos 110° / sin 110° ≈ −0.3640

xyOP

P(cos 110°, sin 110°) ≈ (−0.3420, 0.9397)

C(cot 110°, 1) ≈ (−0.3640, 1) — where line OP meets the line y = 1.

All four functions of 110°
FunctionExact valueDecimal
sin 110°—≈ 0.9397
cos 110°—≈ −0.3420
tan 110°—≈ −2.7475
cot 110°—≈ −0.3640

Reference angle: cot 70° ≈ 0.3640

See Also

FAQ

What is cot 110°?

cot 110° ≈ −0.3640

Why does cot 110° 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°. 110° is not, so no such exact form exists; the value is used as a decimal: cot 110° ≈ −0.3640.

Why does a calculator show 22.5805 for cot 110?

The calculator is in radian mode (RAD): it takes cot 110 as the cotangent of 110 radians, cot 110 rad ≈ 22.5805. Switch it to degrees (DEG): cot 110° ≈ −0.3640. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.