Tan 31 Degrees

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

What is tan 31°?

Answer

tan 31° ≈
0.6009

Angle in radians: 31° = 31π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 31° can't be written with square roots: 31° is not a multiple of 3°.

tan 31° = sin 31° / cos 31° ≈ 0.6009

xyOP

P(cos 31°, sin 31°) ≈ (0.8572, 0.5150)

T(1, tan 31°) ≈ (1, 0.6009) — where line OP meets the line x = 1.

All four functions of 31°
FunctionExact valueDecimal
sin 31°—≈ 0.5150
cos 31°—≈ 0.8572
tan 31°—≈ 0.6009
cot 31°—≈ 1.6643

See Also

FAQ

What is tan 31°?

tan 31° ≈ 0.6009

Why does tan 31° 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°. 31° is not, so no such exact form exists; the value is used as a decimal: tan 31° ≈ 0.6009.

Why does a calculator show −0.4417 for tan 31?

The calculator is in radian mode (RAD): it takes tan 31 as the tangent of 31 radians, tan 31 rad ≈ −0.4417. Switch it to degrees (DEG): tan 31° ≈ 0.6009. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.