Tan 23 Degrees

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

What is tan 23°?

Answer

tan 23° ≈
0.4245

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

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

tan 23° = sin 23° / cos 23° ≈ 0.4245

xyOP

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

T(1, tan 23°) ≈ (1, 0.4245) — where line OP meets the line x = 1.

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

FAQ

What is tan 23°?

tan 23° ≈ 0.4245

Why does tan 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: tan 23° ≈ 0.4245.

Why does a calculator show 1.5882 for tan 23?

The calculator is in radian mode (RAD): it takes tan 23 as the tangent of 23 radians, tan 23 rad ≈ 1.5882. Switch it to degrees (DEG): tan 23° ≈ 0.4245. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.