Sin 211 Degrees

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

What is sin 211°?

Answer

sin 211° ≈
−0.5150

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

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

sin 211° = sin(180° + 31°) = −sin 31° ≈ −0.5150

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

xyOP

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

Highlighted: the projection on the y-axis — sine, y ≈ −0.5150.

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: sin 31° ≈ 0.5150

See Also

FAQ

What is sin 211°?

sin 211° ≈ −0.5150

Why does sin 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: sin 211° ≈ −0.5150.

Why does a calculator show −0.4910 for sin 211?

The calculator is in radian mode (RAD): it takes sin 211 as the sine of 211 radians, sin 211 rad ≈ −0.4910. Switch it to degrees (DEG): sin 211° ≈ −0.5150. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.