Cot 57 Degrees

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

What is cot 57°?

Answer

cot 57° ≈
0.6494

Angle in radians: 57° = 19π/60. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 57° in square roots exists, but it is unwieldy — nested radicals.

cot 57° = cos 57° / sin 57° ≈ 0.6494

xyOP

P(cos 57°, sin 57°) ≈ (0.5446, 0.8387)

C(cot 57°, 1) ≈ (0.6494, 1) — where line OP meets the line y = 1.

All four functions of 57°
FunctionExact valueDecimal
sin 57°—≈ 0.8387
cos 57°—≈ 0.5446
tan 57°—≈ 1.5399
cot 57°—≈ 0.6494

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
54°√(5 − 2√5)
55°≈ 0.7002
56°≈ 0.6745
57°≈ 0.6494
58°≈ 0.6249
59°≈ 0.6009
60°√3/3

FAQ

What is cot 57°?

cot 57° ≈ 0.6494

Is there an exact value of cot 57°?

Yes: 57° 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 57° ≈ 0.6494.

Why does a calculator show 2.0631 for cot 57?

The calculator is in radian mode (RAD): it takes cot 57 as the cotangent of 57 radians, cot 57 rad ≈ 2.0631. Switch it to degrees (DEG): cot 57° ≈ 0.6494. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also