Sin 3 Degrees

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

What is sin 3°?

Answer

sin 3° ≈
0.0523

Angle in radians: 3° = π/60. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 3° in square roots exists, but it is unwieldy — nested radicals.

P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

xyOP

P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

Highlighted: the projection on the y-axis — sine, y ≈ 0.0523.

All four functions of 3°
FunctionExact valueDecimal
sin 3°—≈ 0.0523
cos 3°—≈ 0.9986
tan 3°—≈ 0.0524
cot 3°—≈ 19.0811

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
0°0
1°≈ 0.0175
2°≈ 0.0349
3°≈ 0.0523
4°≈ 0.0698
5°≈ 0.0872
6°≈ 0.1045

FAQ

What is sin 3°?

sin 3° ≈ 0.0523

Is there an exact value of sin 3°?

Yes: 3° 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 3° ≈ 0.0523.

Why does a calculator show 0.1411 for sin 3?

The calculator is in radian mode (RAD): it takes sin 3 as the sine of 3 radians, sin 3 rad ≈ 0.1411. Switch it to degrees (DEG): sin 3° ≈ 0.0523. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also