Cot 63 Degrees

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

What is cot 63°?

Answer

cot 63° ≈
0.5095

Angle in radians: 63° = 7π/20. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 63° in square roots exists, but it is unwieldy — nested radicals.

cot 63° = cos 63° / sin 63° ≈ 0.5095

xyOP

P(cos 63°, sin 63°) ≈ (0.4540, 0.8910)

C(cot 63°, 1) ≈ (0.5095, 1) — where line OP meets the line y = 1.

All four functions of 63°
FunctionExact valueDecimal
sin 63°—≈ 0.8910
cos 63°—≈ 0.4540
tan 63°—≈ 1.9626
cot 63°—≈ 0.5095

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
60°√3/3
61°≈ 0.5543
62°≈ 0.5317
63°≈ 0.5095
64°≈ 0.4877
65°≈ 0.4663
66°≈ 0.4452

FAQ

What is cot 63°?

cot 63° ≈ 0.5095

Is there an exact value of cot 63°?

Yes: 63° 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 63° ≈ 0.5095.

Why does a calculator show 5.8910 for cot 63?

The calculator is in radian mode (RAD): it takes cot 63 as the cotangent of 63 radians, cot 63 rad ≈ 5.8910. Switch it to degrees (DEG): cot 63° ≈ 0.5095. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also