Tan 55 Degrees

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

What is tan 55°?

Answer

tan 55° ≈
1.4281

Angle in radians: 55° = 11π/36. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 55° can't be written with square roots: 55° is not a multiple of 3°.

tan 55° = sin 55° / cos 55° ≈ 1.4281

xyOP

P(cos 55°, sin 55°) ≈ (0.5736, 0.8192)

T(1, tan 55°) ≈ (1, 1.4281) — where line OP meets the line x = 1.

All four functions of 55°
FunctionExact valueDecimal
sin 55°—≈ 0.8192
cos 55°—≈ 0.5736
tan 55°—≈ 1.4281
cot 55°—≈ 0.7002

See Also

FAQ

What is tan 55°?

tan 55° ≈ 1.4281

Why does tan 55° 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°. 55° is not, so no such exact form exists; the value is used as a decimal: tan 55° ≈ 1.4281.

Why does a calculator show −45.1831 for tan 55?

The calculator is in radian mode (RAD): it takes tan 55 as the tangent of 55 radians, tan 55 rad ≈ −45.1831. Switch it to degrees (DEG): tan 55° ≈ 1.4281. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.