Tan 20 Degrees

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

What is tan 20°?

Answer

tan 20° ≈
0.3640

Angle in radians: 20° = π/9. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 20° can't be written with square roots: 20° is not a multiple of 3°.

tan 20° = sin 20° / cos 20° ≈ 0.3640

xyOP

P(cos 20°, sin 20°) ≈ (0.9397, 0.3420)

T(1, tan 20°) ≈ (1, 0.3640) — where line OP meets the line x = 1.

All four functions of 20°
FunctionExact valueDecimal
sin 20°—≈ 0.3420
cos 20°—≈ 0.9397
tan 20°—≈ 0.3640
cot 20°—≈ 2.7475

See Also

FAQ

What is tan 20°?

tan 20° ≈ 0.3640

Why does tan 20° 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°. 20° is not, so no such exact form exists; the value is used as a decimal: tan 20° ≈ 0.3640.

Why does a calculator show 2.2372 for tan 20?

The calculator is in radian mode (RAD): it takes tan 20 as the tangent of 20 radians, tan 20 rad ≈ 2.2372. Switch it to degrees (DEG): tan 20° ≈ 0.3640. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.