Cot 47 Degrees

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

What is cot 47°?

Answer

cot 47° ≈
0.9325

Angle in radians: 47° = 47π/180. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. cot 47° can't be written with square roots: 47° is not a multiple of 3°.

cot 47° = cos 47° / sin 47° ≈ 0.9325

xyOP

P(cos 47°, sin 47°) ≈ (0.6820, 0.7314)

C(cot 47°, 1) ≈ (0.9325, 1) — where line OP meets the line y = 1.

All four functions of 47°
FunctionExact valueDecimal
sin 47°—≈ 0.7314
cos 47°—≈ 0.6820
tan 47°—≈ 1.0724
cot 47°—≈ 0.9325

See Also

FAQ

What is cot 47°?

cot 47° ≈ 0.9325

Why does cot 47° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 47° is not, so no such exact form exists; the value is used as a decimal: cot 47° ≈ 0.9325.

Why does a calculator show −8.0304 for cot 47?

The calculator is in radian mode (RAD): it takes cot 47 as the cotangent of 47 radians, cot 47 rad ≈ −8.0304. Switch it to degrees (DEG): cot 47° ≈ 0.9325. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.