Cot 167 Degrees

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

What is cot 167°?

Answer

cot 167° ≈
−4.3315

Angle in radians: 167° = 167π/180. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 167° can't be written with square roots: 167° is not a multiple of 3°.

cot 167° = cot(180° − 13°) = −cot 13° ≈ −4.3315

cot 167° = cos 167° / sin 167° ≈ −4.3315

xyOP

P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

C(cot 167°, 1) ≈ (−4.3315, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 167°
FunctionExact valueDecimal
sin 167°—≈ 0.2250
cos 167°—≈ −0.9744
tan 167°—≈ −0.2309
cot 167°—≈ −4.3315

Reference angle: cot 13° ≈ 4.3315

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
162°−√(5 + 2√5)
164°≈ −3.4874
165°−2 − √3
167°≈ −4.3315
175°≈ −11.4301
179°≈ −57.2900
180°undefined

FAQ

What is cot 167°?

cot 167° ≈ −4.3315

Why does cot 167° 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°. 167° is not, so no such exact form exists; the value is used as a decimal: cot 167° ≈ −4.3315.

Why does a calculator show 1.8498 for cot 167?

The calculator is in radian mode (RAD): it takes cot 167 as the cotangent of 167 radians, cot 167 rad ≈ 1.8498. Switch it to degrees (DEG): cot 167° ≈ −4.3315. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also