Sin 23 Degrees

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

What is sin 23°?

Answer

sin 23° ≈
0.3907

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

≈ — rounded to 4 decimal places. sin 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 y-axis — sine, y ≈ 0.3907.

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 ↑

Sine of nearby angles

Anglesin
20°≈ 0.3420
21°≈ 0.3584
22°≈ 0.3746
23°≈ 0.3907
24°≈ 0.4067
25°≈ 0.4226
26°≈ 0.4384

FAQ

What is sin 23°?

sin 23° ≈ 0.3907

Why does sin 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: sin 23° ≈ 0.3907.

Why does a calculator show −0.8462 for sin 23?

The calculator is in radian mode (RAD): it takes sin 23 as the sine of 23 radians, sin 23 rad ≈ −0.8462. Switch it to degrees (DEG): sin 23° ≈ 0.3907. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also