Cos 211 Degrees

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

What is cos 211°?

Answer

cos 211° ≈
−0.8572

Angle in radians: 211° = 211π/180. The point of the angle is in quadrant III, where cosine is negative.

≈ — rounded to 4 decimal places. cos 211° can't be written with square roots: 211° is not a multiple of 3°.

cos 211° = cos(180° + 31°) = −cos 31° ≈ −0.8572

P(cos 211°, sin 211°) ≈ (−0.8572, −0.5150)

xyOP

P(cos 211°, sin 211°) ≈ (−0.8572, −0.5150)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.8572.

All four functions of 211°
FunctionExact valueDecimal
sin 211°—≈ −0.5150
cos 211°—≈ −0.8572
tan 211°—≈ 0.6009
cot 211°—≈ 1.6643

Reference angle: cos 31° ≈ 0.8572

See Also

FAQ

What is cos 211°?

cos 211° ≈ −0.8572

Why does cos 211° 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°. 211° is not, so no such exact form exists; the value is used as a decimal: cos 211° ≈ −0.8572.

Why does a calculator show −0.8711 for cos 211?

The calculator is in radian mode (RAD): it takes cos 211 as the cosine of 211 radians, cos 211 rad ≈ −0.8711. Switch it to degrees (DEG): cos 211° ≈ −0.8572. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.