Arcsin of 3/4

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(3/4)?

Answer

arcsin(3/4) ≈
48.5904° ≈ 0.8481 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.

3/4 = 0.75.

arcsin(3/4) is the angle α in [−90°, 90°] with sin α = 3/4.

sin 48.5904° ≈ 0.7500

xyOP

α = arcsin(3/4) ≈ 48.5904°

P ≈ (0.6614, 0.75)

P lies on the line y = 3/4 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 3/4.

All four inverse functions of 3/4
FunctionDegreesRadians
arcsin(3/4)≈ 48.5904°≈ 0.8481
arccos(3/4)≈ 41.4096°≈ 0.7227
arctan(3/4)≈ 36.8699°≈ 0.6435
arccot(3/4)≈ 53.1301°≈ 0.9273

See Also

FAQ

What is arcsin(3/4)?

arcsin(3/4) ≈ 48.5904° ≈ 0.8481 rad

How to convert arcsin(3/4) to radians?

Multiply the angle in degrees by π/180: 48.5904° × π/180 ≈ 0.8481 rad.

Why does a calculator show 0.8481 for arcsin(3/4)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(3/4) ≈ 0.8481 rad. In degrees (DEG) it is ≈ 48.5904°.