Cot 164 Degrees

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

What is cot 164°?

Answer

cot 164° ≈
−3.4874

Angle in radians: 164° = 41π/45. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 164° can't be written with square roots: 164° is not a multiple of 3°.

cot 164° = cot(180° − 16°) = −cot 16° ≈ −3.4874

cot 164° = cos 164° / sin 164° ≈ −3.4874

xyOP

P(cos 164°, sin 164°) ≈ (−0.9613, 0.2756)

C(cot 164°, 1) ≈ (−3.4874, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 164°
FunctionExact valueDecimal
sin 164°—≈ 0.2756
cos 164°—≈ −0.9613
tan 164°—≈ −0.2867
cot 164°—≈ −3.4874

Reference angle: cot 16° ≈ 3.4874

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
159°≈ −2.6051
160°≈ −2.7475
162°−√(5 + 2√5)
164°≈ −3.4874
165°−2 − √3
167°≈ −4.3315
175°≈ −11.4301

FAQ

What is cot 164°?

cot 164° ≈ −3.4874

Why does cot 164° 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°. 164° is not, so no such exact form exists; the value is used as a decimal: cot 164° ≈ −3.4874.

Why does a calculator show 1.3510 for cot 164?

The calculator is in radian mode (RAD): it takes cot 164 as the cotangent of 164 radians, cot 164 rad ≈ 1.3510. Switch it to degrees (DEG): cot 164° ≈ −3.4874. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also