Arcsin of 1/4

Arcsin, Arccos, Arctan, Arccot

What is arcsin(1/4)?

Answer

arcsin(1/4) ≈

14.4775° ≈ 0.2527 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.

1/4 = 0.25.

arcsin(1/4) is the angle α in [−90°, 90°] with sin α = 1/4.

sin 14.4775° ≈ 0.2500

α = arcsin(1/4) ≈ 14.4775°

P ≈ (0.9682, 0.25)

P lies on the line y = 1/4 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 1/4.

arcsin(1/4) ≈ 14.4775° ≈ 0.2527 rad

Multiply the angle in degrees by π/180: 14.4775° × π/180 ≈ 0.2527 rad.

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(1/4) ≈ 0.2527 rad. In degrees (DEG) it is ≈ 14.4775°.