Tan 22 Degrees

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

What is tan 22°?

Answer

tan 22° ≈
0.4040

Angle in radians: 22° = 11π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 22° can't be written with square roots: 22° is not a multiple of 3°.

tan 22° = sin 22° / cos 22° ≈ 0.4040

xyOP

P(cos 22°, sin 22°) ≈ (0.9272, 0.3746)

T(1, tan 22°) ≈ (1, 0.4040) — where line OP meets the line x = 1.

All four functions of 22°
FunctionExact valueDecimal
sin 22°—≈ 0.3746
cos 22°—≈ 0.9272
tan 22°—≈ 0.4040
cot 22°—≈ 2.4751

See Also

FAQ

What is tan 22°?

tan 22° ≈ 0.4040

Why does tan 22° 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°. 22° is not, so no such exact form exists; the value is used as a decimal: tan 22° ≈ 0.4040.

Why does a calculator show 0.0089 for tan 22?

The calculator is in radian mode (RAD): it takes tan 22 as the tangent of 22 radians, tan 22 rad ≈ 0.0089. Switch it to degrees (DEG): tan 22° ≈ 0.4040. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.