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    Tan 65 Degrees

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

    What is tan 65°?

    Answer

    tan 65° ≈
    2.1445

    Angle in radians: 65° = 13π/36. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 65° can't be written with square roots: 65° is not a multiple of 3°.

    tan 65° = sin 65° / cos 65° ≈ 2.1445

    xyOP

    P(cos 65°, sin 65°) ≈ (0.4226, 0.9063)

    T(1, tan 65°) ≈ (1, 2.1445) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 65°
    FunctionExact valueDecimal
    sin 65°—≈ 0.9063
    cos 65°—≈ 0.4226
    tan 65°—≈ 2.1445
    cot 65°—≈ 0.4663

    See Also

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    https://calculat.io/en/number/trigonometry/tan--65Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--65">Tan 65 Degrees: Tangent of 65° on the Unit Circle</a>Copy
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    Tan 65 Degrees: Tangent of 65° on the Unit Circle. tan 65° ≈ 2.1445. The tangent is the ratio y/x of the point at 65° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--65/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    62°≈ 1.8807
    63°≈ 1.9626
    64°≈ 2.0503
    65°≈ 2.1445
    66°≈ 2.2460
    67°≈ 2.3559
    68°≈ 2.4751
    Recalculate with different values ↑

    FAQ

    What is tan 65°?

    tan 65° ≈ 2.1445

    Why does tan 65° have no exact value?

    A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 65° is not, so no such exact form exists; the value is used as a decimal: tan 65° ≈ 2.1445.

    Why does a calculator show −1.4700 for tan 65?

    The calculator is in radian mode (RAD): it takes tan 65 as the tangent of 65 radians, tan 65 rad ≈ −1.4700. Switch it to degrees (DEG): tan 65° ≈ 2.1445. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also