Cot 179 Degrees

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

What is cot 179°?

Answer

cot 179° ≈
−57.2900

Angle in radians: 179° = 179π/180. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 179° can't be written with square roots: 179° is not a multiple of 3°.

cot 179° = cot(180° − 1°) = −cot 1° ≈ −57.2900

cot 179° = cos 179° / sin 179° ≈ −57.2900

xyOP

P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

C(cot 179°, 1) ≈ (−57.2900, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 179°
FunctionExact valueDecimal
sin 179°—≈ 0.0175
cos 179°—≈ −0.9998
tan 179°—≈ −0.0175
cot 179°—≈ −57.2900

Reference angle: cot 1° ≈ 57.2900

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
165°−2 − √3
167°≈ −4.3315
175°≈ −11.4301
179°≈ −57.2900
180°undefined
195°2 + √3
198°√(5 + 2√5)

FAQ

What is cot 179°?

cot 179° ≈ −57.2900

Why does cot 179° 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°. 179° is not, so no such exact form exists; the value is used as a decimal: cot 179° ≈ −57.2900.

Why does a calculator show −14.1044 for cot 179?

The calculator is in radian mode (RAD): it takes cot 179 as the cotangent of 179 radians, cot 179 rad ≈ −14.1044. Switch it to degrees (DEG): cot 179° ≈ −57.2900. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also