Cot 87 Degrees

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

What is cot 87°?

Answer

cot 87° ≈
0.0524

Angle in radians: 87° = 29π/60. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 87° in square roots exists, but it is unwieldy — nested radicals.

cot 87° = cos 87° / sin 87° ≈ 0.0524

xyOP

P(cos 87°, sin 87°) ≈ (0.0523, 0.9986)

C(cot 87°, 1) ≈ (0.0524, 1) — where line OP meets the line y = 1.

All four functions of 87°
FunctionExact valueDecimal
sin 87°—≈ 0.9986
cos 87°—≈ 0.0523
tan 87°—≈ 19.0811
cot 87°—≈ 0.0524

See Also

FAQ

What is cot 87°?

cot 87° ≈ 0.0524

Is there an exact value of cot 87°?

Yes: 87° 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 87° ≈ 0.0524.

Why does a calculator show −0.6933 for cot 87?

The calculator is in radian mode (RAD): it takes cot 87 as the cotangent of 87 radians, cot 87 rad ≈ −0.6933. Switch it to degrees (DEG): cot 87° ≈ 0.0524. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.