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    Cos 300 Degrees

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

    What is cos 300°?

    Answer

    cos 300° =
    1/2 = 0.5

    Angle in radians: 300° = 5π/3. The point of the angle is in quadrant IV, where cosine is positive.

    cos 300° = cos(360° − 60°) = cos 60° = 1/2

    P(cos 300°, sin 300°) = (1/2, −√3/2)

    Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.

    cos 60° = 1/2

    xyOP

    P(cos 300°, sin 300°) ≈ (0.5, −0.8660)

    Highlighted: the projection on the x-axis — cosine, x = 0.5.

    All four functions of 300°
    FunctionExact valueDecimal
    sin 300°−√3/2≈ −0.8660
    cos 300°1/20.5
    tan 300°−√3≈ −1.7321
    cot 300°−√3/3≈ −0.5774

    Reference angle: cos 60° = 1/2

    See Also

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    https://calculat.io/en/number/trigonometry/cos--300Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--300">Cos 300 Degrees: Cosine of 300° on the Unit Circle</a>Copy
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    Cos 300 Degrees: Cosine of 300° on the Unit Circle. cos 300° = 1/2 = 0.5. The cosine is the x-coordinate of the point at 300° on the unit circle; 300° reduces to 60°.
    https://calculat.io/en/number/trigonometry/cos--300/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    270°0
    285°(√6 − √2)/4
    288°(√5 − 1)/4
    300°1/2
    306°√(10 − 2√5)/4
    315°√2/2
    324°(√5 + 1)/4
    Recalculate with different values ↑

    FAQ

    What is cos 300°?

    cos 300° = 1/2 = 0.5

    How to remember sin 30°, sin 45° and sin 60°?

    Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: cos 300° = 1/2 = 0.5.

    Why does a calculator show −0.0221 for cos 300?

    The calculator is in radian mode (RAD): it takes cos 300 as the cosine of 300 radians, cos 300 rad ≈ −0.0221. Switch it to degrees (DEG): cos 300° = 1/2 = 0.5. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also