Cot 16 Degrees

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

What is cot 16°?

Answer

cot 16° ≈
3.4874

Angle in radians: 16° = 4π/45. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 16° can't be written with square roots: 16° is not a multiple of 3°.

cot 16° = cos 16° / sin 16° ≈ 3.4874

xyOP

P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

C(cot 16°, 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 16°
FunctionExact valueDecimal
sin 16°—≈ 0.2756
cos 16°—≈ 0.9613
tan 16°—≈ 0.2867
cot 16°—≈ 3.4874

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
13°≈ 4.3315
14°≈ 4.0108
15°2 + √3
16°≈ 3.4874
17°≈ 3.2709
18°√(5 + 2√5)
19°≈ 2.9042

FAQ

What is cot 16°?

cot 16° ≈ 3.4874

Why does cot 16° 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°. 16° is not, so no such exact form exists; the value is used as a decimal: cot 16° ≈ 3.4874.

Why does a calculator show 3.3263 for cot 16?

The calculator is in radian mode (RAD): it takes cot 16 as the cotangent of 16 radians, cot 16 rad ≈ 3.3263. Switch it to degrees (DEG): cot 16° ≈ 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