Sin 57 Degrees

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

What is sin 57°?

Answer

sin 57° ≈
0.8387

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

≈ — rounded to 4 decimal places. An exact form of sin 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 y-axis — sine, y ≈ 0.8387.

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 ↑

Sine of nearby angles

Anglesin
54°(√5 + 1)/4
55°≈ 0.8192
56°≈ 0.8290
57°≈ 0.8387
58°≈ 0.8480
59°≈ 0.8572
60°√3/2

FAQ

What is sin 57°?

sin 57° ≈ 0.8387

Is there an exact value of sin 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: sin 57° ≈ 0.8387.

Why does a calculator show 0.4362 for sin 57?

The calculator is in radian mode (RAD): it takes sin 57 as the sine of 57 radians, sin 57 rad ≈ 0.4362. Switch it to degrees (DEG): sin 57° ≈ 0.8387. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also