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    Arcsin of 1/4

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    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

    xyOP

    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.

    All four inverse functions of 1/4
    FunctionDegreesRadians
    arcsin(1/4)≈ 14.4775°≈ 0.2527
    arccos(1/4)≈ 75.5225°≈ 1.3181
    arctan(1/4)≈ 14.0362°≈ 0.2450
    arccot(1/4)≈ 75.9638°≈ 1.3258

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    https://calculat.io/en/number/inverse-trigonometry/arcsin--1-4Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arcsin--1-4">Arcsin of 1/4 (Inverse Sine) in Degrees and Radians</a>Copy
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    Arcsin of 1/4 (Inverse Sine) in Degrees and Radians. arcsin(1/4) ≈ 14.4775° ≈ 0.2527 rad: the angle in [−90°, 90°] whose sine is 1/4. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arcsin--1-4/generated.jpgCopy

    FAQ

    What is arcsin(1/4)?

    arcsin(1/4) ≈ 14.4775° ≈ 0.2527 rad

    How to convert arcsin(1/4) to radians?

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

    Why does a calculator show 0.2527 for arcsin(1/4)?

    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°.