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    Arcsin of −0.3

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arcsin(−0.3)?

    Answer

    arcsin(−0.3) ≈
    −17.4576° ≈ −0.3047 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(−0.3) is the angle α in [−90°, 90°] with sin α = −0.3.

    arcsin(−0.3) = −arcsin(0.3) ≈ −17.4576°

    sin(−17.4576°) ≈ −0.3000

    xyOP

    α = arcsin(−0.3) ≈ −17.4576°

    P ≈ (0.9539, −0.3)

    P lies on the line y = −0.3 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = −0.3.

    All four inverse functions of −0.3
    FunctionDegreesRadians
    arcsin(−0.3)≈ −17.4576°≈ −0.3047
    arccos(−0.3)≈ 107.4576°≈ 1.8755
    arctan(−0.3)≈ −16.6992°≈ −0.2915
    arccot(−0.3)≈ 106.6992°≈ 1.8623

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    https://calculat.io/en/number/inverse-trigonometry/arcsin---0.3Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arcsin---0.3">Arcsin of −0.3 (Inverse Sine) in Degrees and Radians</a>Copy
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    Arcsin of −0.3 (Inverse Sine) in Degrees and Radians. arcsin(−0.3) ≈ −17.4576° ≈ −0.3047 rad: the angle in [−90°, 90°] whose sine is −0.3. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arcsin---0.3/generated.jpgCopy

    FAQ

    What is arcsin(−0.3)?

    arcsin(−0.3) ≈ −17.4576° ≈ −0.3047 rad

    Why is arcsin(−0.3) ≈ −17.4576°?

    arcsin is an odd function: arcsin(−x) = −arcsin x. So arcsin(−0.3) = −arcsin(0.3) ≈ −17.4576°, and this angle lies in the range [−90°, 90°].

    Why does a calculator show −0.3047 for arcsin(−0.3)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(−0.3) ≈ −0.3047 rad. In degrees (DEG) it is ≈ −17.4576°.