Sin 227 Degrees

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

What is sin 227°?

Answer

sin 227° ≈
−0.7314

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

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

sin 227° = sin(180° + 47°) = −sin 47° ≈ −0.7314

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

xyOP

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

Highlighted: the projection on the y-axis — sine, y ≈ −0.7314.

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: sin 47° ≈ 0.7314

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
215°≈ −0.5736
216°−√(10 − 2√5)/4
225°−√2/2
227°≈ −0.7314
234°−(√5 + 1)/4
240°−√3/2
252°−√(10 + 2√5)/4

FAQ

What is sin 227°?

sin 227° ≈ −0.7314

Why does sin 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: sin 227° ≈ −0.7314.

Why does a calculator show 0.7211 for sin 227?

The calculator is in radian mode (RAD): it takes sin 227 as the sine of 227 radians, sin 227 rad ≈ 0.7211. Switch it to degrees (DEG): sin 227° ≈ −0.7314. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also