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    Tan 69 Degrees

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

    What is tan 69°?

    Answer

    tan 69° ≈
    2.6051

    Angle in radians: 69° = 23π/60. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 69° in square roots exists, but it is unwieldy — nested radicals.

    tan 69° = sin 69° / cos 69° ≈ 2.6051

    xyOP

    P(cos 69°, sin 69°) ≈ (0.3584, 0.9336)

    T(1, tan 69°) ≈ (1, 2.6051) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 69°
    FunctionExact valueDecimal
    sin 69°—≈ 0.9336
    cos 69°—≈ 0.3584
    tan 69°—≈ 2.6051
    cot 69°—≈ 0.3839

    See Also

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    https://calculat.io/en/number/trigonometry/tan--69Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--69">Tan 69 Degrees: Tangent of 69° on the Unit Circle</a>Copy
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    Tan 69 Degrees: Tangent of 69° on the Unit Circle. tan 69° ≈ 2.6051. The tangent is the ratio y/x of the point at 69° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--69/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    66°≈ 2.2460
    67°≈ 2.3559
    68°≈ 2.4751
    69°≈ 2.6051
    70°≈ 2.7475
    71°≈ 2.9042
    72°√(5 + 2√5)
    Recalculate with different values ↑

    FAQ

    What is tan 69°?

    tan 69° ≈ 2.6051

    Is there an exact value of tan 69°?

    Yes: 69° 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 69° ≈ 2.6051.

    Why does a calculator show −0.1155 for tan 69?

    The calculator is in radian mode (RAD): it takes tan 69 as the tangent of 69 radians, tan 69 rad ≈ −0.1155. Switch it to degrees (DEG): tan 69° ≈ 2.6051. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also