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    Arcsin of 1

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arcsin(1)?

    Answer

    arcsin(1) =
    90° = π/2

    Range: arcsin x is an angle from −90° to 90°, so the answer is unique.

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

    sin 90° = 1 ✓

    xyOP

    α = arcsin(1) = 90°

    P(cos 90°, sin 90°) = (0, 1)

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

    All four inverse functions of 1
    FunctionDegreesRadians
    arcsin(1)90°π/2
    arccos(1)0°0
    arctan(1)45°π/4
    arccot(1)45°π/4

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    https://calculat.io/en/number/inverse-trigonometry/arcsin--1Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arcsin--1">Arcsin of 1 (Inverse Sine) in Degrees and Radians</a>Copy
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    Arcsin of 1 (Inverse Sine) in Degrees and Radians. arcsin(1) = 90° = π/2: the angle in [−90°, 90°] whose sine is 1. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arcsin--1/generated.jpgCopy

    FAQ

    What is arcsin(1)?

    arcsin(1) = 90° = π/2

    How to find arcsin(1) from a table of sines?

    Look in the table for the angle α in [−90°, 90°] with sin α = 1: it is 90°, or π/2 in radians.

    Why does a calculator show 1.5708 for arcsin(1)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(1) = π/2 ≈ 1.5708 rad. In degrees (DEG) it is 90°.