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    Sin 90 Degrees

    Sin, Cos, Tan, Cot of an Angle
    Function
    Angle (°)

    What is sin 90°?

    Answer

    sin 90° =
    1

    Angle in radians: 90° = π/2. The point of the angle is on the y-axis: (0, 1).

    P(cos 90°, sin 90°) = (0, 1)

    xyOP

    P(cos 90°, sin 90°) = (0, 1)

    Highlighted: the projection on the y-axis — sine, y = 1.

    All four functions of 90°
    FunctionExact valueDecimal
    sin 90°11
    cos 90°00
    tan 90°undefined—
    cot 90°00

    See Also

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    https://calculat.io/en/number/trigonometry/sin--90Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--90">Sin 90 Degrees: Sine of 90° on the Unit Circle - Calculatio</a>Copy
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    Sin 90 Degrees: Sine of 90° on the Unit Circle. sin 90° = 1. The sine is the y-coordinate of the point at 90° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--90/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    87°≈ 0.9986
    88°≈ 0.9994
    89°≈ 0.9998
    90°1
    97°≈ 0.9925
    98°≈ 0.9903
    100°≈ 0.9848
    Recalculate with different values ↑

    FAQ

    What is sin 90°?

    sin 90° = 1

    Why is sin 90° equal to 1?

    The point of 90° on the unit circle is (0, 1), and sine is its the y-coordinate, so sin 90° = 1.

    Why does a calculator show 0.8940 for sin 90?

    The calculator is in radian mode (RAD): it takes sin 90 as the sine of 90 radians, sin 90 rad ≈ 0.8940. Switch it to degrees (DEG): sin 90° = 1. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also