Cot 33 Degrees

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

What is cot 33°?

Answer

cot 33° ≈
1.5399

Angle in radians: 33° = 11π/60. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 33° in square roots exists, but it is unwieldy — nested radicals.

cot 33° = cos 33° / sin 33° ≈ 1.5399

xyOP

P(cos 33°, sin 33°) ≈ (0.8387, 0.5446)

C(cot 33°, 1) ≈ (1.5399, 1) — where line OP meets the line y = 1.

All four functions of 33°
FunctionExact valueDecimal
sin 33°—≈ 0.5446
cos 33°—≈ 0.8387
tan 33°—≈ 0.6494
cot 33°—≈ 1.5399

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
30°√3
31°≈ 1.6643
32°≈ 1.6003
33°≈ 1.5399
34°≈ 1.4826
35°≈ 1.4281
36°√(25 + 10√5)/5

FAQ

What is cot 33°?

cot 33° ≈ 1.5399

Is there an exact value of cot 33°?

Yes: 33° 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 33° ≈ 1.5399.

Why does a calculator show −0.0133 for cot 33?

The calculator is in radian mode (RAD): it takes cot 33 as the cotangent of 33 radians, cot 33 rad ≈ −0.0133. Switch it to degrees (DEG): cot 33° ≈ 1.5399. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also