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    Tan 63 Degrees

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

    What is tan 63°?

    Answer

    tan 63° ≈
    1.9626

    Angle in radians: 63° = 7π/20. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 63° in square roots exists, but it is unwieldy — nested radicals.

    tan 63° = sin 63° / cos 63° ≈ 1.9626

    xyOP

    P(cos 63°, sin 63°) ≈ (0.4540, 0.8910)

    T(1, tan 63°) ≈ (1, 1.9626) — where line OP meets the line x = 1.

    All four functions of 63°
    FunctionExact valueDecimal
    sin 63°—≈ 0.8910
    cos 63°—≈ 0.4540
    tan 63°—≈ 1.9626
    cot 63°—≈ 0.5095

    See Also

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    https://calculat.io/en/number/trigonometry/tan--63Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--63">Tan 63 Degrees: Tangent of 63° on the Unit Circle</a>Copy
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    Tan 63 Degrees: Tangent of 63° on the Unit Circle. tan 63° ≈ 1.9626. The tangent is the ratio y/x of the point at 63° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--63/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    60°√3
    61°≈ 1.8040
    62°≈ 1.8807
    63°≈ 1.9626
    64°≈ 2.0503
    65°≈ 2.1445
    66°≈ 2.2460
    Recalculate with different values ↑

    FAQ

    What is tan 63°?

    tan 63° ≈ 1.9626

    Is there an exact value of tan 63°?

    Yes: 63° 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 63° ≈ 1.9626.

    Why does a calculator show 0.1697 for tan 63?

    The calculator is in radian mode (RAD): it takes tan 63 as the tangent of 63 radians, tan 63 rad ≈ 0.1697. Switch it to degrees (DEG): tan 63° ≈ 1.9626. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also