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    Tan 33 Degrees

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

    What is tan 33°?

    Answer

    tan 33° ≈
    0.6494

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

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

    tan 33° = sin 33° / cos 33° ≈ 0.6494

    xyOP

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

    T(1, tan 33°) ≈ (1, 0.6494) — where line OP meets the line x = 1.

    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/tan--33Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--33">Tan 33 Degrees: Tangent of 33° on the Unit Circle</a>Copy
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    Tan 33 Degrees: Tangent of 33° on the Unit Circle. tan 33° ≈ 0.6494. The tangent is the ratio y/x of the point at 33° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--33/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    30°√3/3
    31°≈ 0.6009
    32°≈ 0.6249
    33°≈ 0.6494
    34°≈ 0.6745
    35°≈ 0.7002
    36°√(5 − 2√5)
    Recalculate with different values ↑

    FAQ

    What is tan 33°?

    tan 33° ≈ 0.6494

    Is there an exact value of tan 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: tan 33° ≈ 0.6494.

    Why does a calculator show −75.3130 for tan 33?

    The calculator is in radian mode (RAD): it takes tan 33 as the tangent of 33 radians, tan 33 rad ≈ −75.3130. Switch it to degrees (DEG): tan 33° ≈ 0.6494. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also