Sin 24 Degrees

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

What is sin 24°?

Answer

sin 24° ≈
0.4067

Angle in radians: 24° = 2π/15. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 24° in square roots exists, but it is unwieldy — nested radicals.

P(cos 24°, sin 24°) ≈ (0.9135, 0.4067)

xyOP

P(cos 24°, sin 24°) ≈ (0.9135, 0.4067)

Highlighted: the projection on the y-axis — sine, y ≈ 0.4067.

All four functions of 24°
FunctionExact valueDecimal
sin 24°—≈ 0.4067
cos 24°—≈ 0.9135
tan 24°—≈ 0.4452
cot 24°—≈ 2.2460

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
21°≈ 0.3584
22°≈ 0.3746
23°≈ 0.3907
24°≈ 0.4067
25°≈ 0.4226
26°≈ 0.4384
27°≈ 0.4540

FAQ

What is sin 24°?

sin 24° ≈ 0.4067

Is there an exact value of sin 24°?

Yes: 24° 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 24° ≈ 0.4067.

Why does a calculator show −0.9056 for sin 24?

The calculator is in radian mode (RAD): it takes sin 24 as the sine of 24 radians, sin 24 rad ≈ −0.9056. Switch it to degrees (DEG): sin 24° ≈ 0.4067. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also