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    Cos 450 Degrees

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

    What is cos 450°?

    Answer

    cos 450° =
    0

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

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

    P(cos 450°, sin 450°) = (0, 1)

    xyOP

    P(cos 450°, sin 450°) = (0, 1)

    The point lies on the y-axis, so its projection on the x-axis is 0: cos 450° = 0.

    +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: cos 90° = 0

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/cos--450">Cos 450 Degrees: Cosine of 450° on the Unit Circle</a>Copy
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    Cos 450 Degrees: Cosine of 450° on the Unit Circle. cos 450° = 0. The cosine is the x-coordinate of the point at 450° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--450/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    360°1
    390°√3/2
    400°≈ 0.7660
    450°0
    540°−1
    570°−√3/2
    690°√3/2
    Recalculate with different values ↑

    FAQ

    What is cos 450°?

    cos 450° = 0

    Why is cos 450° equal to 0?

    450° ends at the same point as 90°, (0, 1), and cosine is its the x-coordinate, so cos 450° = 0.

    Why does a calculator show −0.7302 for cos 450?

    The calculator is in radian mode (RAD): it takes cos 450 as the cosine of 450 radians, cos 450 rad ≈ −0.7302. Switch it to degrees (DEG): cos 450° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also