Cot 84 Degrees

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

What is cot 84°?

Answer

cot 84° ≈
0.1051

Angle in radians: 84° = 7π/15. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 84° in square roots exists, but it is unwieldy — nested radicals.

cot 84° = cos 84° / sin 84° ≈ 0.1051

xyOP

P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

C(cot 84°, 1) ≈ (0.1051, 1) — where line OP meets the line y = 1.

All four functions of 84°
FunctionExact valueDecimal
sin 84°—≈ 0.9945
cos 84°—≈ 0.1045
tan 84°—≈ 9.5144
cot 84°—≈ 0.1051

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
81°≈ 0.1584
82°≈ 0.1405
83°≈ 0.1228
84°≈ 0.1051
85°≈ 0.0875
86°≈ 0.0699
87°≈ 0.0524

FAQ

What is cot 84°?

cot 84° ≈ 0.1051

Is there an exact value of cot 84°?

Yes: 84° 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 84° ≈ 0.1051.

Why does a calculator show −0.9275 for cot 84?

The calculator is in radian mode (RAD): it takes cot 84 as the cotangent of 84 radians, cot 84 rad ≈ −0.9275. Switch it to degrees (DEG): cot 84° ≈ 0.1051. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also