Tan 56 Degrees

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

What is tan 56°?

Answer

tan 56° ≈
1.4826

Angle in radians: 56° = 14π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 56° can't be written with square roots: 56° is not a multiple of 3°.

tan 56° = sin 56° / cos 56° ≈ 1.4826

xyOP

P(cos 56°, sin 56°) ≈ (0.5592, 0.8290)

T(1, tan 56°) ≈ (1, 1.4826) — where line OP meets the line x = 1.

All four functions of 56°
FunctionExact valueDecimal
sin 56°—≈ 0.8290
cos 56°—≈ 0.5592
tan 56°—≈ 1.4826
cot 56°—≈ 0.6745

See Also

FAQ

What is tan 56°?

tan 56° ≈ 1.4826

Why does tan 56° 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°. 56° is not, so no such exact form exists; the value is used as a decimal: tan 56° ≈ 1.4826.

Why does a calculator show −0.6113 for tan 56?

The calculator is in radian mode (RAD): it takes tan 56 as the tangent of 56 radians, tan 56 rad ≈ −0.6113. Switch it to degrees (DEG): tan 56° ≈ 1.4826. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.