Tan 8 Degrees

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

What is tan 8°?

Answer

tan 8° ≈
0.1405

Angle in radians: 8° = 2π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 8° can't be written with square roots: 8° is not a multiple of 3°.

tan 8° = sin 8° / cos 8° ≈ 0.1405

xyOP

P(cos 8°, sin 8°) ≈ (0.9903, 0.1392)

T(1, tan 8°) ≈ (1, 0.1405) — where line OP meets the line x = 1.

All four functions of 8°
FunctionExact valueDecimal
sin 8°—≈ 0.1392
cos 8°—≈ 0.9903
tan 8°—≈ 0.1405
cot 8°—≈ 7.1154

See Also

FAQ

What is tan 8°?

tan 8° ≈ 0.1405

Why does tan 8° 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°. 8° is not, so no such exact form exists; the value is used as a decimal: tan 8° ≈ 0.1405.

Why does a calculator show −6.7997 for tan 8?

The calculator is in radian mode (RAD): it takes tan 8 as the tangent of 8 radians, tan 8 rad ≈ −6.7997. Switch it to degrees (DEG): tan 8° ≈ 0.1405. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.