Cot 69 Degrees

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

What is cot 69°?

Answer

cot 69° ≈
0.3839

Angle in radians: 69° = 23π/60. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 69° in square roots exists, but it is unwieldy — nested radicals.

cot 69° = cos 69° / sin 69° ≈ 0.3839

xyOP

P(cos 69°, sin 69°) ≈ (0.3584, 0.9336)

C(cot 69°, 1) ≈ (0.3839, 1) — where line OP meets the line y = 1.

All four functions of 69°
FunctionExact valueDecimal
sin 69°—≈ 0.9336
cos 69°—≈ 0.3584
tan 69°—≈ 2.6051
cot 69°—≈ 0.3839

See Also

FAQ

What is cot 69°?

cot 69° ≈ 0.3839

Is there an exact value of cot 69°?

Yes: 69° 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 69° ≈ 0.3839.

Why does a calculator show −8.6544 for cot 69?

The calculator is in radian mode (RAD): it takes cot 69 as the cotangent of 69 radians, cot 69 rad ≈ −8.6544. Switch it to degrees (DEG): cot 69° ≈ 0.3839. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.