Sin 55 Degrees

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

What is sin 55°?

Answer

sin 55° ≈
0.8192

Angle in radians: 55° = 11π/36. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 55° can't be written with square roots: 55° is not a multiple of 3°.

P(cos 55°, sin 55°) ≈ (0.5736, 0.8192)

xyOP

P(cos 55°, sin 55°) ≈ (0.5736, 0.8192)

Highlighted: the projection on the y-axis — sine, y ≈ 0.8192.

All four functions of 55°
FunctionExact valueDecimal
sin 55°—≈ 0.8192
cos 55°—≈ 0.5736
tan 55°—≈ 1.4281
cot 55°—≈ 0.7002

See Also

FAQ

What is sin 55°?

sin 55° ≈ 0.8192

Why does sin 55° 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°. 55° is not, so no such exact form exists; the value is used as a decimal: sin 55° ≈ 0.8192.

Why does a calculator show −0.9998 for sin 55?

The calculator is in radian mode (RAD): it takes sin 55 as the sine of 55 radians, sin 55 rad ≈ −0.9998. Switch it to degrees (DEG): sin 55° ≈ 0.8192. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.