Tan 28 Degrees

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

What is tan 28°?

Answer

tan 28° ≈
0.5317

Angle in radians: 28° = 7π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 28° can't be written with square roots: 28° is not a multiple of 3°.

tan 28° = sin 28° / cos 28° ≈ 0.5317

xyOP

P(cos 28°, sin 28°) ≈ (0.8829, 0.4695)

T(1, tan 28°) ≈ (1, 0.5317) — where line OP meets the line x = 1.

All four functions of 28°
FunctionExact valueDecimal
sin 28°—≈ 0.4695
cos 28°—≈ 0.8829
tan 28°—≈ 0.5317
cot 28°—≈ 1.8807

See Also

FAQ

What is tan 28°?

tan 28° ≈ 0.5317

Why does tan 28° 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°. 28° is not, so no such exact form exists; the value is used as a decimal: tan 28° ≈ 0.5317.

Why does a calculator show −0.2814 for tan 28?

The calculator is in radian mode (RAD): it takes tan 28 as the tangent of 28 radians, tan 28 rad ≈ −0.2814. Switch it to degrees (DEG): tan 28° ≈ 0.5317. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.