Sin 4 Degrees

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

What is sin 4°?

Answer

sin 4° ≈
0.0698

Angle in radians: 4° = π/45. The point of the angle is in quadrant I, where sine is positive.

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

P(cos 4°, sin 4°) ≈ (0.9976, 0.0698)

xyOP

P(cos 4°, sin 4°) ≈ (0.9976, 0.0698)

Highlighted: the projection on the y-axis — sine, y ≈ 0.0698.

All four functions of 4°
FunctionExact valueDecimal
sin 4°—≈ 0.0698
cos 4°—≈ 0.9976
tan 4°—≈ 0.0699
cot 4°—≈ 14.3007

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
1°≈ 0.0175
2°≈ 0.0349
3°≈ 0.0523
4°≈ 0.0698
5°≈ 0.0872
6°≈ 0.1045
7°≈ 0.1219

FAQ

What is sin 4°?

sin 4° ≈ 0.0698

Why does sin 4° 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°. 4° is not, so no such exact form exists; the value is used as a decimal: sin 4° ≈ 0.0698.

Why does a calculator show −0.7568 for sin 4?

The calculator is in radian mode (RAD): it takes sin 4 as the sine of 4 radians, sin 4 rad ≈ −0.7568. Switch it to degrees (DEG): sin 4° ≈ 0.0698. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also