Cot 48 Degrees

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

What is cot 48°?

Answer

cot 48° ≈
0.9004

Angle in radians: 48° = 4π/15. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 48° in square roots exists, but it is unwieldy — nested radicals.

cot 48° = cos 48° / sin 48° ≈ 0.9004

xyOP

P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

C(cot 48°, 1) ≈ (0.9004, 1) — where line OP meets the line y = 1.

All four functions of 48°
FunctionExact valueDecimal
sin 48°—≈ 0.7431
cos 48°—≈ 0.6691
tan 48°—≈ 1.1106
cot 48°—≈ 0.9004

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
45°1
46°≈ 0.9657
47°≈ 0.9325
48°≈ 0.9004
49°≈ 0.8693
50°≈ 0.8391
51°≈ 0.8098

FAQ

What is cot 48°?

cot 48° ≈ 0.9004

Is there an exact value of cot 48°?

Yes: 48° 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 48° ≈ 0.9004.

Why does a calculator show 0.8332 for cot 48?

The calculator is in radian mode (RAD): it takes cot 48 as the cotangent of 48 radians, cot 48 rad ≈ 0.8332. Switch it to degrees (DEG): cot 48° ≈ 0.9004. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also