Cos 23 Degrees

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

What is cos 23°?

Answer

cos 23° ≈
0.9205

Angle in radians: 23° = 23π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 23° can't be written with square roots: 23° is not a multiple of 3°.

P(cos 23°, sin 23°) ≈ (0.9205, 0.3907)

xyOP

P(cos 23°, sin 23°) ≈ (0.9205, 0.3907)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.9205.

All four functions of 23°
FunctionExact valueDecimal
sin 23°—≈ 0.3907
cos 23°—≈ 0.9205
tan 23°—≈ 0.4245
cot 23°—≈ 2.3559

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
20°≈ 0.9397
21°≈ 0.9336
22°≈ 0.9272
23°≈ 0.9205
24°≈ 0.9135
25°≈ 0.9063
26°≈ 0.8988

FAQ

What is cos 23°?

cos 23° ≈ 0.9205

Why does cos 23° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 23° is not, so no such exact form exists; the value is used as a decimal: cos 23° ≈ 0.9205.

Why does a calculator show −0.5328 for cos 23?

The calculator is in radian mode (RAD): it takes cos 23 as the cosine of 23 radians, cos 23 rad ≈ −0.5328. Switch it to degrees (DEG): cos 23° ≈ 0.9205. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also