Cos 87 Degrees

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

What is cos 87°?

Answer

cos 87° ≈
0.0523

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

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

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

xyOP

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

Highlighted: the projection on the x-axis — cosine, x ≈ 0.0523.

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 cos 87°?

cos 87° ≈ 0.0523

Is there an exact value of cos 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: cos 87° ≈ 0.0523.

Why does a calculator show 0.5698 for cos 87?

The calculator is in radian mode (RAD): it takes cos 87 as the cosine of 87 radians, cos 87 rad ≈ 0.5698. Switch it to degrees (DEG): cos 87° ≈ 0.0523. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.