Sin 6 Degrees

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

What is sin 6°?

Answer

sin 6° ≈
0.1045

Angle in radians: 6° = π/30. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 6° in square roots exists, but it is unwieldy — nested radicals.

P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

xyOP

P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

Highlighted: the projection on the y-axis — sine, y ≈ 0.1045.

All four functions of 6°
FunctionExact valueDecimal
sin 6°—≈ 0.1045
cos 6°—≈ 0.9945
tan 6°—≈ 0.1051
cot 6°—≈ 9.5144

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
3°≈ 0.0523
4°≈ 0.0698
5°≈ 0.0872
6°≈ 0.1045
7°≈ 0.1219
8°≈ 0.1392
9°≈ 0.1564

FAQ

What is sin 6°?

sin 6° ≈ 0.1045

Is there an exact value of sin 6°?

Yes: 6° 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 6° ≈ 0.1045.

Why does a calculator show −0.2794 for sin 6?

The calculator is in radian mode (RAD): it takes sin 6 as the sine of 6 radians, sin 6 rad ≈ −0.2794. Switch it to degrees (DEG): sin 6° ≈ 0.1045. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also