Cos 20 Degrees

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

What is cos 20°?

Answer

cos 20° ≈
0.9397

Angle in radians: 20° = π/9. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 20° can't be written with square roots: 20° is not a multiple of 3°.

P(cos 20°, sin 20°) ≈ (0.9397, 0.3420)

xyOP

P(cos 20°, sin 20°) ≈ (0.9397, 0.3420)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.9397.

All four functions of 20°
FunctionExact valueDecimal
sin 20°—≈ 0.3420
cos 20°—≈ 0.9397
tan 20°—≈ 0.3640
cot 20°—≈ 2.7475

See Also

FAQ

What is cos 20°?

cos 20° ≈ 0.9397

Why does cos 20° 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°. 20° is not, so no such exact form exists; the value is used as a decimal: cos 20° ≈ 0.9397.

Why does a calculator show 0.4081 for cos 20?

The calculator is in radian mode (RAD): it takes cos 20 as the cosine of 20 radians, cos 20 rad ≈ 0.4081. Switch it to degrees (DEG): cos 20° ≈ 0.9397. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.