Sin 5 Degrees

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

What is sin 5°?

Answer

sin 5° ≈
0.0872

Angle in radians: 5° = π/36. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 5° can't be written with square roots: 5° is not a multiple of 3°.

P(cos 5°, sin 5°) ≈ (0.9962, 0.0872)

xyOP

P(cos 5°, sin 5°) ≈ (0.9962, 0.0872)

Highlighted: the projection on the y-axis — sine, y ≈ 0.0872.

All four functions of 5°
FunctionExact valueDecimal
sin 5°—≈ 0.0872
cos 5°—≈ 0.9962
tan 5°—≈ 0.0875
cot 5°—≈ 11.4301

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
2°≈ 0.0349
3°≈ 0.0523
4°≈ 0.0698
5°≈ 0.0872
6°≈ 0.1045
7°≈ 0.1219
8°≈ 0.1392

FAQ

What is sin 5°?

sin 5° ≈ 0.0872

Why does sin 5° 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°. 5° is not, so no such exact form exists; the value is used as a decimal: sin 5° ≈ 0.0872.

Why does a calculator show −0.9589 for sin 5?

The calculator is in radian mode (RAD): it takes sin 5 as the sine of 5 radians, sin 5 rad ≈ −0.9589. Switch it to degrees (DEG): sin 5° ≈ 0.0872. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also