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    Cos 33 Degrees

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

    What is cos 33°?

    Answer

    cos 33° ≈
    0.8387

    Angle in radians: 33° = 11π/60. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 33° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 33°, sin 33°) ≈ (0.8387, 0.5446)

    xyOP

    P(cos 33°, sin 33°) ≈ (0.8387, 0.5446)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.8387.

    All four functions of 33°
    FunctionExact valueDecimal
    sin 33°—≈ 0.5446
    cos 33°—≈ 0.8387
    tan 33°—≈ 0.6494
    cot 33°—≈ 1.5399

    See Also

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    https://calculat.io/en/number/trigonometry/cos--33Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--33">Cos 33 Degrees: Cosine of 33° on the Unit Circle</a>Copy
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    Cos 33 Degrees: Cosine of 33° on the Unit Circle. cos 33° ≈ 0.8387. The cosine is the x-coordinate of the point at 33° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--33/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    30°√3/2
    31°≈ 0.8572
    32°≈ 0.8480
    33°≈ 0.8387
    34°≈ 0.8290
    35°≈ 0.8192
    36°(√5 + 1)/4
    Recalculate with different values ↑

    FAQ

    What is cos 33°?

    cos 33° ≈ 0.8387

    Is there an exact value of cos 33°?

    Yes: 33° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cos 33° ≈ 0.8387.

    Why does a calculator show −0.0133 for cos 33?

    The calculator is in radian mode (RAD): it takes cos 33 as the cosine of 33 radians, cos 33 rad ≈ −0.0133. Switch it to degrees (DEG): cos 33° ≈ 0.8387. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also