Cot 101 Degrees

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

What is cot 101°?

Answer

cot 101° ≈
−0.1944

Angle in radians: 101° = 101π/180. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 101° can't be written with square roots: 101° is not a multiple of 3°.

cot 101° = cot(180° − 79°) = −cot 79° ≈ −0.1944

cot 101° = cos 101° / sin 101° ≈ −0.1944

xyOP

P(cos 101°, sin 101°) ≈ (−0.1908, 0.9816)

C(cot 101°, 1) ≈ (−0.1944, 1) — where line OP meets the line y = 1.

All four functions of 101°
FunctionExact valueDecimal
sin 101°—≈ 0.9816
cos 101°—≈ −0.1908
tan 101°—≈ −5.1446
cot 101°—≈ −0.1944

Reference angle: cot 79° ≈ 0.1944

See Also

FAQ

What is cot 101°?

cot 101° ≈ −0.1944

Why does cot 101° 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°. 101° is not, so no such exact form exists; the value is used as a decimal: cot 101° ≈ −0.1944.

Why does a calculator show 1.9733 for cot 101?

The calculator is in radian mode (RAD): it takes cot 101 as the cotangent of 101 radians, cot 101 rad ≈ 1.9733. Switch it to degrees (DEG): cot 101° ≈ −0.1944. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.