Tan 13 Degrees

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

What is tan 13°?

Answer

tan 13° ≈
0.2309

Angle in radians: 13° = 13π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 13° can't be written with square roots: 13° is not a multiple of 3°.

tan 13° = sin 13° / cos 13° ≈ 0.2309

xyOP

P(cos 13°, sin 13°) ≈ (0.9744, 0.2250)

T(1, tan 13°) ≈ (1, 0.2309) — where line OP meets the line x = 1.

All four functions of 13°
FunctionExact valueDecimal
sin 13°—≈ 0.2250
cos 13°—≈ 0.9744
tan 13°—≈ 0.2309
cot 13°—≈ 4.3315

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
10°≈ 0.1763
11°≈ 0.1944
12°≈ 0.2126
13°≈ 0.2309
14°≈ 0.2493
15°2 − √3
16°≈ 0.2867

FAQ

What is tan 13°?

tan 13° ≈ 0.2309

Why does tan 13° 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°. 13° is not, so no such exact form exists; the value is used as a decimal: tan 13° ≈ 0.2309.

Why does a calculator show 0.4630 for tan 13?

The calculator is in radian mode (RAD): it takes tan 13 as the tangent of 13 radians, tan 13 rad ≈ 0.4630. Switch it to degrees (DEG): tan 13° ≈ 0.2309. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also