Sin 10 Degrees

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

What is sin 10°?

Answer

sin 10° ≈
0.1736

Angle in radians: 10° = π/18. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 10° can't be written with square roots: 10° is not a multiple of 3°.

P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

xyOP

P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

Highlighted: the projection on the y-axis — sine, y ≈ 0.1736.

All four functions of 10°
FunctionExact valueDecimal
sin 10°—≈ 0.1736
cos 10°—≈ 0.9848
tan 10°—≈ 0.1763
cot 10°—≈ 5.6713

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
7°≈ 0.1219
8°≈ 0.1392
9°≈ 0.1564
10°≈ 0.1736
11°≈ 0.1908
12°≈ 0.2079
13°≈ 0.2250

FAQ

What is sin 10°?

sin 10° ≈ 0.1736

Why does sin 10° 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°. 10° is not, so no such exact form exists; the value is used as a decimal: sin 10° ≈ 0.1736.

Why does a calculator show −0.5440 for sin 10?

The calculator is in radian mode (RAD): it takes sin 10 as the sine of 10 radians, sin 10 rad ≈ −0.5440. Switch it to degrees (DEG): sin 10° ≈ 0.1736. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also