Cot 51 Degrees

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

What is cot 51°?

Answer

cot 51° ≈
0.8098

Angle in radians: 51° = 17π/60. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 51° in square roots exists, but it is unwieldy — nested radicals.

cot 51° = cos 51° / sin 51° ≈ 0.8098

xyOP

P(cos 51°, sin 51°) ≈ (0.6293, 0.7771)

C(cot 51°, 1) ≈ (0.8098, 1) — where line OP meets the line y = 1.

All four functions of 51°
FunctionExact valueDecimal
sin 51°—≈ 0.7771
cos 51°—≈ 0.6293
tan 51°—≈ 1.2349
cot 51°—≈ 0.8098

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
48°≈ 0.9004
49°≈ 0.8693
50°≈ 0.8391
51°≈ 0.8098
52°≈ 0.7813
53°≈ 0.7536
54°√(5 − 2√5)

FAQ

What is cot 51°?

cot 51° ≈ 0.8098

Is there an exact value of cot 51°?

Yes: 51° 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 51° ≈ 0.8098.

Why does a calculator show 1.1073 for cot 51?

The calculator is in radian mode (RAD): it takes cot 51 as the cotangent of 51 radians, cot 51 rad ≈ 1.1073. Switch it to degrees (DEG): cot 51° ≈ 0.8098. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also