Sin 12 Degrees

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

What is sin 12°?

Answer

sin 12° ≈
0.2079

Angle in radians: 12° = π/15. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 12° in square roots exists, but it is unwieldy — nested radicals.

P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

xyOP

P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

Highlighted: the projection on the y-axis — sine, y ≈ 0.2079.

All four functions of 12°
FunctionExact valueDecimal
sin 12°—≈ 0.2079
cos 12°—≈ 0.9781
tan 12°—≈ 0.2126
cot 12°—≈ 4.7046

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
9°≈ 0.1564
10°≈ 0.1736
11°≈ 0.1908
12°≈ 0.2079
13°≈ 0.2250
14°≈ 0.2419
15°(√6 − √2)/4

FAQ

What is sin 12°?

sin 12° ≈ 0.2079

Is there an exact value of sin 12°?

Yes: 12° 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 12° ≈ 0.2079.

Why does a calculator show −0.5366 for sin 12?

The calculator is in radian mode (RAD): it takes sin 12 as the sine of 12 radians, sin 12 rad ≈ −0.5366. Switch it to degrees (DEG): sin 12° ≈ 0.2079. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also