Tan 14 Degrees

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

What is tan 14°?

Answer

tan 14° ≈
0.2493

Angle in radians: 14° = 7π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 14° can't be written with square roots: 14° is not a multiple of 3°.

tan 14° = sin 14° / cos 14° ≈ 0.2493

xyOP

P(cos 14°, sin 14°) ≈ (0.9703, 0.2419)

T(1, tan 14°) ≈ (1, 0.2493) — where line OP meets the line x = 1.

All four functions of 14°
FunctionExact valueDecimal
sin 14°—≈ 0.2419
cos 14°—≈ 0.9703
tan 14°—≈ 0.2493
cot 14°—≈ 4.0108

See Also

FAQ

What is tan 14°?

tan 14° ≈ 0.2493

Why does tan 14° 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°. 14° is not, so no such exact form exists; the value is used as a decimal: tan 14° ≈ 0.2493.

Why does a calculator show 7.2446 for tan 14?

The calculator is in radian mode (RAD): it takes tan 14 as the tangent of 14 radians, tan 14 rad ≈ 7.2446. Switch it to degrees (DEG): tan 14° ≈ 0.2493. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.