Cot 160 Degrees

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

What is cot 160°?

Answer

cot 160° ≈
−2.7475

Angle in radians: 160° = 8π/9. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 160° can't be written with square roots: 160° is not a multiple of 3°.

cot 160° = cot(180° − 20°) = −cot 20° ≈ −2.7475

cot 160° = cos 160° / sin 160° ≈ −2.7475

xyOP

P(cos 160°, sin 160°) ≈ (−0.9397, 0.3420)

C(cot 160°, 1) ≈ (−2.7475, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 160°
FunctionExact valueDecimal
sin 160°—≈ 0.3420
cos 160°—≈ −0.9397
tan 160°—≈ −0.3640
cot 160°—≈ −2.7475

Reference angle: cot 20° ≈ 2.7475

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
145°≈ −1.4281
150°−√3
159°≈ −2.6051
160°≈ −2.7475
162°−√(5 + 2√5)
164°≈ −3.4874
165°−2 − √3

FAQ

What is cot 160°?

cot 160° ≈ −2.7475

Why does cot 160° 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°. 160° is not, so no such exact form exists; the value is used as a decimal: cot 160° ≈ −2.7475.

Why does a calculator show −4.4463 for cot 160?

The calculator is in radian mode (RAD): it takes cot 160 as the cotangent of 160 radians, cot 160 rad ≈ −4.4463. Switch it to degrees (DEG): cot 160° ≈ −2.7475. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also