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    Arccos of −0.3

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arccos(−0.3)?

    Answer

    arccos(−0.3) ≈
    107.4576° ≈ 1.8755 rad

    Range: arccos x is an angle from 0° to 180°, so the answer is unique.

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

    arccos(−0.3) is the angle α in [0°, 180°] with cos α = −0.3.

    arccos(−0.3) = 180° − arccos(0.3) ≈ 180° − 72.5424° = 107.4576°

    cos 107.4576° ≈ −0.3000

    xyOP

    α = arccos(−0.3) ≈ 107.4576°

    P ≈ (−0.3, 0.9539)

    P lies on the line x = −0.3 in the upper half of the circle, where sin α ≥ 0; highlighted: cos 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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    <a href="https://calculat.io/en/number/inverse-trigonometry/arccos---0.3">Arccos of −0.3 (Inverse Cosine) in Degrees and Radians</a>Copy
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    Arccos of −0.3 (Inverse Cosine) in Degrees and Radians. arccos(−0.3) ≈ 107.4576° ≈ 1.8755 rad: the angle in [0°, 180°] whose cosine is −0.3. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arccos---0.3/generated.jpgCopy

    FAQ

    What is arccos(−0.3)?

    arccos(−0.3) ≈ 107.4576° ≈ 1.8755 rad

    Why is arccos(−0.3) ≈ 107.4576° and not −72.5424°?

    The range of arccos is from 0° to 180°: there are no negative angles in it. A negative x gives an angle greater than 90°: arccos(−0.3) = 180° − arccos(0.3) ≈ 180° − 72.5424° = 107.4576°. The angle −72.5424° does not fit: cos(−α) = cos α, so its cosine is positive.

    Why does a calculator show 1.8755 for arccos(−0.3)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arccos(−0.3) ≈ 1.8755 rad. In degrees (DEG) it is ≈ 107.4576°.