Tan 1 Degree

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

What is tan 1°?

Answer

tan 1° ≈
0.0175

Angle in radians: 1° = π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 1° can't be written with square roots: 1° is not a multiple of 3°.

tan 1° = sin 1° / cos 1° ≈ 0.0175

xyOP

P(cos 1°, sin 1°) ≈ (0.9998, 0.0175)

T(1, tan 1°) ≈ (1, 0.0175) — where line OP meets the line x = 1.

All four functions of 1°
FunctionExact valueDecimal
sin 1°—≈ 0.0175
cos 1°—≈ 0.9998
tan 1°—≈ 0.0175
cot 1°—≈ 57.2900

See Also

FAQ

What is tan 1°?

tan 1° ≈ 0.0175

Why does tan 1° 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°. 1° is not, so no such exact form exists; the value is used as a decimal: tan 1° ≈ 0.0175.

Why does a calculator show 1.5574 for tan 1?

The calculator is in radian mode (RAD): it takes tan 1 as the tangent of 1 radian, tan 1 rad ≈ 1.5574. Switch it to degrees (DEG): tan 1° ≈ 0.0175. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.