Cot 39 Degrees

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

What is cot 39°?

Answer

cot 39° ≈
1.2349

Angle in radians: 39° = 13π/60. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 39° in square roots exists, but it is unwieldy — nested radicals.

cot 39° = cos 39° / sin 39° ≈ 1.2349

xyOP

P(cos 39°, sin 39°) ≈ (0.7771, 0.6293)

C(cot 39°, 1) ≈ (1.2349, 1) — where line OP meets the line y = 1.

All four functions of 39°
FunctionExact valueDecimal
sin 39°—≈ 0.6293
cos 39°—≈ 0.7771
tan 39°—≈ 0.8098
cot 39°—≈ 1.2349

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
36°√(25 + 10√5)/5
37°≈ 1.3270
38°≈ 1.2799
39°≈ 1.2349
40°≈ 1.1918
41°≈ 1.1504
42°≈ 1.1106

FAQ

What is cot 39°?

cot 39° ≈ 1.2349

Is there an exact value of cot 39°?

Yes: 39° 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 39° ≈ 1.2349.

Why does a calculator show 0.2767 for cot 39?

The calculator is in radian mode (RAD): it takes cot 39 as the cotangent of 39 radians, cot 39 rad ≈ 0.2767. Switch it to degrees (DEG): cot 39° ≈ 1.2349. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also