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    Sin 450 Degrees

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

    What is sin 450°?

    Answer

    sin 450° =
    1

    Angle in radians: 450° = 5π/2. 450° = 360° + 90° — a full turn plus 90°: the point is on the y-axis, (0, 1).

    sin 450° = sin(450° − 360°) = sin 90°

    P(cos 450°, sin 450°) = (0, 1)

    xyOP

    P(cos 450°, sin 450°) = (0, 1)

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

    +1 turn: the drawing shows 90°.

    All four functions of 450°
    FunctionExact valueDecimal
    sin 450°11
    cos 450°00
    tan 450°undefined—
    cot 450°00

    Reference angle: sin 90° = 1

    See Also

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    https://calculat.io/en/number/trigonometry/sin--450Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--450">Sin 450 Degrees: Sine of 450° on the Unit Circle</a>Copy
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    Sin 450 Degrees: Sine of 450° on the Unit Circle. sin 450° = 1. The sine is the y-coordinate of the point at 450° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--450/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    360°0
    390°1/2
    400°≈ 0.6428
    450°1
    540°0
    570°−1/2
    690°−1/2
    Recalculate with different values ↑

    FAQ

    What is sin 450°?

    sin 450° = 1

    Why is sin 450° equal to 1?

    450° ends at the same point as 90°, (0, 1), and sine is its the y-coordinate, so sin 450° = 1.

    Why does a calculator show −0.6833 for sin 450?

    The calculator is in radian mode (RAD): it takes sin 450 as the sine of 450 radians, sin 450 rad ≈ −0.6833. Switch it to degrees (DEG): sin 450° = 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