Tan 4 Degrees

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

What is tan 4°?

Answer

tan 4° ≈
0.0699

Angle in radians: 4° = π/45. The point of the angle is in quadrant I, where tangent is positive.

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

tan 4° = sin 4° / cos 4° ≈ 0.0699

xyOP

P(cos 4°, sin 4°) ≈ (0.9976, 0.0698)

T(1, tan 4°) ≈ (1, 0.0699) — where line OP meets the line x = 1.

All four functions of 4°
FunctionExact valueDecimal
sin 4°—≈ 0.0698
cos 4°—≈ 0.9976
tan 4°—≈ 0.0699
cot 4°—≈ 14.3007

See Also

FAQ

What is tan 4°?

tan 4° ≈ 0.0699

Why does tan 4° 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°. 4° is not, so no such exact form exists; the value is used as a decimal: tan 4° ≈ 0.0699.

Why does a calculator show 1.1578 for tan 4?

The calculator is in radian mode (RAD): it takes tan 4 as the tangent of 4 radians, tan 4 rad ≈ 1.1578. Switch it to degrees (DEG): tan 4° ≈ 0.0699. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.