Arcsin of 2/3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(2/3)?

Answer

arcsin(2/3) ≈
41.8103° ≈ 0.7297 rad

Range: arcsin x is an angle from −90° to 90°, so the answer is unique.

≈ — the value is not a table one; rounded to 4 decimal places.

arcsin(2/3) is the angle α in [−90°, 90°] with sin α = 2/3.

sin 41.8103° ≈ 0.6667

xyOP

α = arcsin(2/3) ≈ 41.8103°

P ≈ (0.7454, 0.6667)

P lies on the line y = 2/3 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 2/3.

All four inverse functions of 2/3
FunctionDegreesRadians
arcsin(2/3)≈ 41.8103°≈ 0.7297
arccos(2/3)≈ 48.1897°≈ 0.8411
arctan(2/3)≈ 33.6901°≈ 0.5880
arccot(2/3)≈ 56.3099°≈ 0.9828

See Also

FAQ

What is arcsin(2/3)?

arcsin(2/3) ≈ 41.8103° ≈ 0.7297 rad

How to convert arcsin(2/3) to radians?

Multiply the angle in degrees by π/180: 41.8103° × π/180 ≈ 0.7297 rad.

Why does a calculator show 0.7297 for arcsin(2/3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(2/3) ≈ 0.7297 rad. In degrees (DEG) it is ≈ 41.8103°.