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    Tan 87 Degrees

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

    What is tan 87°?

    Answer

    tan 87° ≈
    19.0811

    Angle in radians: 87° = 29π/60. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 87° in square roots exists, but it is unwieldy — nested radicals.

    tan 87° = sin 87° / cos 87° ≈ 19.0811

    xyOP

    P(cos 87°, sin 87°) ≈ (0.0523, 0.9986)

    T(1, tan 87°) ≈ (1, 19.0811) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 87°
    FunctionExact valueDecimal
    sin 87°—≈ 0.9986
    cos 87°—≈ 0.0523
    tan 87°—≈ 19.0811
    cot 87°—≈ 0.0524

    See Also

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    https://calculat.io/en/number/trigonometry/tan--87Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--87">Tan 87 Degrees: Tangent of 87° on the Unit Circle</a>Copy
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    Tan 87 Degrees: Tangent of 87° on the Unit Circle. tan 87° ≈ 19.0811. The tangent is the ratio y/x of the point at 87° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--87/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    84°≈ 9.5144
    85°≈ 11.4301
    86°≈ 14.3007
    87°≈ 19.0811
    88°≈ 28.6363
    89°≈ 57.2900
    90°undefined
    Recalculate with different values ↑

    FAQ

    What is tan 87°?

    tan 87° ≈ 19.0811

    Is there an exact value of tan 87°?

    Yes: 87° 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 87° ≈ 19.0811.

    Why does a calculator show −1.4424 for tan 87?

    The calculator is in radian mode (RAD): it takes tan 87 as the tangent of 87 radians, tan 87 rad ≈ −1.4424. Switch it to degrees (DEG): tan 87° ≈ 19.0811. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also