Cos 47 Degrees

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

What is cos 47°?

Answer

cos 47° ≈
0.6820

Angle in radians: 47° = 47π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 47° can't be written with square roots: 47° is not a multiple of 3°.

P(cos 47°, sin 47°) ≈ (0.6820, 0.7314)

xyOP

P(cos 47°, sin 47°) ≈ (0.6820, 0.7314)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.6820.

All four functions of 47°
FunctionExact valueDecimal
sin 47°—≈ 0.7314
cos 47°—≈ 0.6820
tan 47°—≈ 1.0724
cot 47°—≈ 0.9325

See Also

FAQ

What is cos 47°?

cos 47° ≈ 0.6820

Why does cos 47° 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°. 47° is not, so no such exact form exists; the value is used as a decimal: cos 47° ≈ 0.6820.

Why does a calculator show −0.9923 for cos 47?

The calculator is in radian mode (RAD): it takes cos 47 as the cosine of 47 radians, cos 47 rad ≈ −0.9923. Switch it to degrees (DEG): cos 47° ≈ 0.6820. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.