Sin 22 Degrees

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

What is sin 22°?

Answer

sin 22° ≈
0.3746

Angle in radians: 22° = 11π/90. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 22° can't be written with square roots: 22° is not a multiple of 3°.

P(cos 22°, sin 22°) ≈ (0.9272, 0.3746)

xyOP

P(cos 22°, sin 22°) ≈ (0.9272, 0.3746)

Highlighted: the projection on the y-axis — sine, y ≈ 0.3746.

All four functions of 22°
FunctionExact valueDecimal
sin 22°—≈ 0.3746
cos 22°—≈ 0.9272
tan 22°—≈ 0.4040
cot 22°—≈ 2.4751

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
19°≈ 0.3256
20°≈ 0.3420
21°≈ 0.3584
22°≈ 0.3746
23°≈ 0.3907
24°≈ 0.4067
25°≈ 0.4226

FAQ

What is sin 22°?

sin 22° ≈ 0.3746

Why does sin 22° 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°. 22° is not, so no such exact form exists; the value is used as a decimal: sin 22° ≈ 0.3746.

Why does a calculator show −0.0089 for sin 22?

The calculator is in radian mode (RAD): it takes sin 22 as the sine of 22 radians, sin 22 rad ≈ −0.0089. Switch it to degrees (DEG): sin 22° ≈ 0.3746. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also