Cos 57 Degrees

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

What is cos 57°?

Answer

cos 57° ≈
0.5446

Angle in radians: 57° = 19π/60. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. An exact form of cos 57° in square roots exists, but it is unwieldy — nested radicals.

P(cos 57°, sin 57°) ≈ (0.5446, 0.8387)

xyOP

P(cos 57°, sin 57°) ≈ (0.5446, 0.8387)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.5446.

All four functions of 57°
FunctionExact valueDecimal
sin 57°—≈ 0.8387
cos 57°—≈ 0.5446
tan 57°—≈ 1.5399
cot 57°—≈ 0.6494

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
54°√(10 − 2√5)/4
55°≈ 0.5736
56°≈ 0.5592
57°≈ 0.5446
58°≈ 0.5299
59°≈ 0.5150
60°1/2

FAQ

What is cos 57°?

cos 57° ≈ 0.5446

Is there an exact value of cos 57°?

Yes: 57° 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 57° ≈ 0.5446.

Why does a calculator show 0.8999 for cos 57?

The calculator is in radian mode (RAD): it takes cos 57 as the cosine of 57 radians, cos 57 rad ≈ 0.8999. Switch it to degrees (DEG): cos 57° ≈ 0.5446. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also