Tan 10 Degrees

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

What is tan 10°?

Answer

tan 10° ≈
0.1763

Angle in radians: 10° = π/18. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 10° can't be written with square roots: 10° is not a multiple of 3°.

tan 10° = sin 10° / cos 10° ≈ 0.1763

xyOP

P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

T(1, tan 10°) ≈ (1, 0.1763) — where line OP meets the line x = 1.

All four functions of 10°
FunctionExact valueDecimal
sin 10°—≈ 0.1736
cos 10°—≈ 0.9848
tan 10°—≈ 0.1763
cot 10°—≈ 5.6713

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
7°≈ 0.1228
8°≈ 0.1405
9°≈ 0.1584
10°≈ 0.1763
11°≈ 0.1944
12°≈ 0.2126
13°≈ 0.2309

FAQ

What is tan 10°?

tan 10° ≈ 0.1763

Why does tan 10° 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°. 10° is not, so no such exact form exists; the value is used as a decimal: tan 10° ≈ 0.1763.

Why does a calculator show 0.6484 for tan 10?

The calculator is in radian mode (RAD): it takes tan 10 as the tangent of 10 radians, tan 10 rad ≈ 0.6484. Switch it to degrees (DEG): tan 10° ≈ 0.1763. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also