Tan 2 Degrees

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

What is tan 2°?

Answer

tan 2° ≈
0.0349

Angle in radians: 2° = π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 2° can't be written with square roots: 2° is not a multiple of 3°.

tan 2° = sin 2° / cos 2° ≈ 0.0349

xyOP

P(cos 2°, sin 2°) ≈ (0.9994, 0.0349)

T(1, tan 2°) ≈ (1, 0.0349) — where line OP meets the line x = 1.

All four functions of 2°
FunctionExact valueDecimal
sin 2°—≈ 0.0349
cos 2°—≈ 0.9994
tan 2°—≈ 0.0349
cot 2°—≈ 28.6363

See Also

FAQ

What is tan 2°?

tan 2° ≈ 0.0349

Why does tan 2° 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°. 2° is not, so no such exact form exists; the value is used as a decimal: tan 2° ≈ 0.0349.

Why does a calculator show −2.1850 for tan 2?

The calculator is in radian mode (RAD): it takes tan 2 as the tangent of 2 radians, tan 2 rad ≈ −2.1850. Switch it to degrees (DEG): tan 2° ≈ 0.0349. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.