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    Sin 33 Degrees

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

    What is sin 33°?

    Answer

    sin 33° ≈
    0.5446

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

    ≈ — rounded to 4 decimal places. An exact form of sin 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 y-axis — sine, y ≈ 0.5446.

    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/sin--33Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--33">Sin 33 Degrees: Sine of 33° on the Unit Circle - Calculatio</a>Copy
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    Sin 33 Degrees: Sine of 33° on the Unit Circle. sin 33° ≈ 0.5446. The sine is the y-coordinate of the point at 33° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--33/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    30°1/2
    31°≈ 0.5150
    32°≈ 0.5299
    33°≈ 0.5446
    34°≈ 0.5592
    35°≈ 0.5736
    36°√(10 − 2√5)/4
    Recalculate with different values ↑

    FAQ

    What is sin 33°?

    sin 33° ≈ 0.5446

    Is there an exact value of sin 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: sin 33° ≈ 0.5446.

    Why does a calculator show 0.9999 for sin 33?

    The calculator is in radian mode (RAD): it takes sin 33 as the sine of 33 radians, sin 33 rad ≈ 0.9999. Switch it to degrees (DEG): sin 33° ≈ 0.5446. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also