Cos 22 Degrees

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

What is cos 22°?

Answer

cos 22° ≈
0.9272

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

≈ — rounded to 4 decimal places. cos 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 x-axis — cosine, x ≈ 0.9272.

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

FAQ

What is cos 22°?

cos 22° ≈ 0.9272

Why does cos 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: cos 22° ≈ 0.9272.

Why does a calculator show −1.0000 for cos 22?

The calculator is in radian mode (RAD): it takes cos 22 as the cosine of 22 radians, cos 22 rad ≈ −1.0000. Switch it to degrees (DEG): cos 22° ≈ 0.9272. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.