Cos 6 Degrees

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

What is cos 6°?

Answer

cos 6° ≈
0.9945

Angle in radians: 6° = π/30. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. An exact form of cos 6° in square roots exists, but it is unwieldy — nested radicals.

P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

xyOP

P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.9945.

All four functions of 6°
FunctionExact valueDecimal
sin 6°—≈ 0.1045
cos 6°—≈ 0.9945
tan 6°—≈ 0.1051
cot 6°—≈ 9.5144

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
3°≈ 0.9986
4°≈ 0.9976
5°≈ 0.9962
6°≈ 0.9945
7°≈ 0.9925
8°≈ 0.9903
9°≈ 0.9877

FAQ

What is cos 6°?

cos 6° ≈ 0.9945

Is there an exact value of cos 6°?

Yes: 6° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cos 6° ≈ 0.9945.

Why does a calculator show 0.9602 for cos 6?

The calculator is in radian mode (RAD): it takes cos 6 as the cosine of 6 radians, cos 6 rad ≈ 0.9602. Switch it to degrees (DEG): cos 6° ≈ 0.9945. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also