Sin 16 Degrees

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

What is sin 16°?

Answer

sin 16° ≈
0.2756

Angle in radians: 16° = 4π/45. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 16° can't be written with square roots: 16° is not a multiple of 3°.

P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

xyOP

P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

Highlighted: the projection on the y-axis — sine, y ≈ 0.2756.

All four functions of 16°
FunctionExact valueDecimal
sin 16°—≈ 0.2756
cos 16°—≈ 0.9613
tan 16°—≈ 0.2867
cot 16°—≈ 3.4874

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
13°≈ 0.2250
14°≈ 0.2419
15°(√6 − √2)/4
16°≈ 0.2756
17°≈ 0.2924
18°(√5 − 1)/4
19°≈ 0.3256

FAQ

What is sin 16°?

sin 16° ≈ 0.2756

Why does sin 16° 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°. 16° is not, so no such exact form exists; the value is used as a decimal: sin 16° ≈ 0.2756.

Why does a calculator show −0.2879 for sin 16?

The calculator is in radian mode (RAD): it takes sin 16 as the sine of 16 radians, sin 16 rad ≈ −0.2879. Switch it to degrees (DEG): sin 16° ≈ 0.2756. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also