Sin 1 Degree

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

What is sin 1°?

Answer

sin 1° ≈
0.0175

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

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

P(cos 1°, sin 1°) ≈ (0.9998, 0.0175)

xyOP

P(cos 1°, sin 1°) ≈ (0.9998, 0.0175)

Highlighted: the projection on the y-axis — sine, y ≈ 0.0175.

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

Recalculate with different values ↑

Sine of nearby angles

Anglesin
0°0
1°≈ 0.0175
2°≈ 0.0349
3°≈ 0.0523
4°≈ 0.0698
5°≈ 0.0872
6°≈ 0.1045

FAQ

What is sin 1°?

sin 1° ≈ 0.0175

Why does sin 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: sin 1° ≈ 0.0175.

Why does a calculator show 0.8415 for sin 1?

The calculator is in radian mode (RAD): it takes sin 1 as the sine of 1 radian, sin 1 rad ≈ 0.8415. Switch it to degrees (DEG): sin 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.

See Also