Cos 24 Degrees

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

What is cos 24°?

Answer

cos 24° ≈
0.9135

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

≈ — rounded to 4 decimal places. An exact form of cos 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 x-axis — cosine, x ≈ 0.9135.

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 ↑

Cosine of nearby angles

Anglecos
21°≈ 0.9336
22°≈ 0.9272
23°≈ 0.9205
24°≈ 0.9135
25°≈ 0.9063
26°≈ 0.8988
27°≈ 0.8910

FAQ

What is cos 24°?

cos 24° ≈ 0.9135

Is there an exact value of cos 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: cos 24° ≈ 0.9135.

Why does a calculator show 0.4242 for cos 24?

The calculator is in radian mode (RAD): it takes cos 24 as the cosine of 24 radians, cos 24 rad ≈ 0.4242. Switch it to degrees (DEG): cos 24° ≈ 0.9135. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also