Tan 19 Degrees

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

What is tan 19°?

Answer

tan 19° ≈
0.3443

Angle in radians: 19° = 19π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 19° can't be written with square roots: 19° is not a multiple of 3°.

tan 19° = sin 19° / cos 19° ≈ 0.3443

xyOP

P(cos 19°, sin 19°) ≈ (0.9455, 0.3256)

T(1, tan 19°) ≈ (1, 0.3443) — where line OP meets the line x = 1.

All four functions of 19°
FunctionExact valueDecimal
sin 19°—≈ 0.3256
cos 19°—≈ 0.9455
tan 19°—≈ 0.3443
cot 19°—≈ 2.9042

See Also

FAQ

What is tan 19°?

tan 19° ≈ 0.3443

Why does tan 19° 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°. 19° is not, so no such exact form exists; the value is used as a decimal: tan 19° ≈ 0.3443.

Why does a calculator show 0.1516 for tan 19?

The calculator is in radian mode (RAD): it takes tan 19 as the tangent of 19 radians, tan 19 rad ≈ 0.1516. Switch it to degrees (DEG): tan 19° ≈ 0.3443. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.