Cot 20 Degrees

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

What is cot 20°?

Answer

cot 20° ≈
2.7475

Angle in radians: 20° = π/9. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 20° can't be written with square roots: 20° is not a multiple of 3°.

cot 20° = cos 20° / sin 20° ≈ 2.7475

xyOP

P(cos 20°, sin 20°) ≈ (0.9397, 0.3420)

C(cot 20°, 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 20°
FunctionExact valueDecimal
sin 20°—≈ 0.3420
cos 20°—≈ 0.9397
tan 20°—≈ 0.3640
cot 20°—≈ 2.7475

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
17°≈ 3.2709
18°√(5 + 2√5)
19°≈ 2.9042
20°≈ 2.7475
21°≈ 2.6051
22°≈ 2.4751
23°≈ 2.3559

FAQ

What is cot 20°?

cot 20° ≈ 2.7475

Why does cot 20° 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°. 20° is not, so no such exact form exists; the value is used as a decimal: cot 20° ≈ 2.7475.

Why does a calculator show 0.4470 for cot 20?

The calculator is in radian mode (RAD): it takes cot 20 as the cotangent of 20 radians, cot 20 rad ≈ 0.4470. Switch it to degrees (DEG): cot 20° ≈ 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