Cot 27 Degrees

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

What is cot 27°?

Answer

cot 27° ≈
1.9626

Angle in radians: 27° = 3π/20. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 27° in square roots exists, but it is unwieldy — nested radicals.

cot 27° = cos 27° / sin 27° ≈ 1.9626

xyOP

P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

C(cot 27°, 1) ≈ (1.9626, 1) — where line OP meets the line y = 1.

All four functions of 27°
FunctionExact valueDecimal
sin 27°—≈ 0.4540
cos 27°—≈ 0.8910
tan 27°—≈ 0.5095
cot 27°—≈ 1.9626

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
24°≈ 2.2460
25°≈ 2.1445
26°≈ 2.0503
27°≈ 1.9626
28°≈ 1.8807
29°≈ 1.8040
30°√3

FAQ

What is cot 27°?

cot 27° ≈ 1.9626

Is there an exact value of cot 27°?

Yes: 27° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cot 27° ≈ 1.9626.

Why does a calculator show −0.3055 for cot 27?

The calculator is in radian mode (RAD): it takes cot 27 as the cotangent of 27 radians, cot 27 rad ≈ −0.3055. Switch it to degrees (DEG): cot 27° ≈ 1.9626. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also