Cos 227 Degrees

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

What is cos 227°?

Answer

cos 227° ≈
−0.6820

Angle in radians: 227° = 227π/180. The point of the angle is in quadrant III, where cosine is negative.

≈ — rounded to 4 decimal places. cos 227° can't be written with square roots: 227° is not a multiple of 3°.

cos 227° = cos(180° + 47°) = −cos 47° ≈ −0.6820

P(cos 227°, sin 227°) ≈ (−0.6820, −0.7314)

xyOP

P(cos 227°, sin 227°) ≈ (−0.6820, −0.7314)

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

All four functions of 227°
FunctionExact valueDecimal
sin 227°—≈ −0.7314
cos 227°—≈ −0.6820
tan 227°—≈ 1.0724
cot 227°—≈ 0.9325

Reference angle: cos 47° ≈ 0.6820

See Also

FAQ

What is cos 227°?

cos 227° ≈ −0.6820

Why does cos 227° 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°. 227° is not, so no such exact form exists; the value is used as a decimal: cos 227° ≈ −0.6820.

Why does a calculator show 0.6929 for cos 227?

The calculator is in radian mode (RAD): it takes cos 227 as the cosine of 227 radians, cos 227 rad ≈ 0.6929. Switch it to degrees (DEG): cos 227° ≈ −0.6820. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.