Cot 66 Degrees

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

What is cot 66°?

Answer

cot 66° ≈
0.4452

Angle in radians: 66° = 11π/30. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 66° in square roots exists, but it is unwieldy — nested radicals.

cot 66° = cos 66° / sin 66° ≈ 0.4452

xyOP

P(cos 66°, sin 66°) ≈ (0.4067, 0.9135)

C(cot 66°, 1) ≈ (0.4452, 1) — where line OP meets the line y = 1.

All four functions of 66°
FunctionExact valueDecimal
sin 66°—≈ 0.9135
cos 66°—≈ 0.4067
tan 66°—≈ 2.2460
cot 66°—≈ 0.4452

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
63°≈ 0.5095
64°≈ 0.4877
65°≈ 0.4663
66°≈ 0.4452
67°≈ 0.4245
68°≈ 0.4040
69°≈ 0.3839

FAQ

What is cot 66°?

cot 66° ≈ 0.4452

Is there an exact value of cot 66°?

Yes: 66° 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 66° ≈ 0.4452.

Why does a calculator show 37.6499 for cot 66?

The calculator is in radian mode (RAD): it takes cot 66 as the cotangent of 66 radians, cot 66 rad ≈ 37.6499. Switch it to degrees (DEG): cot 66° ≈ 0.4452. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also