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    Tan 215 Degrees

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

    What is tan 215°?

    Answer

    tan 215° ≈
    0.7002

    Angle in radians: 215° = 43π/36. The point of the angle is in quadrant III, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 215° can't be written with square roots: 215° is not a multiple of 3°.

    tan 215° = tan(180° + 35°) = tan 35° ≈ 0.7002

    tan 215° = sin 215° / cos 215° ≈ 0.7002

    xyOP

    P(cos 215°, sin 215°) ≈ (−0.8192, −0.5736)

    T(1, tan 215°) ≈ (1, 0.7002) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 215°
    FunctionExact valueDecimal
    sin 215°—≈ −0.5736
    cos 215°—≈ −0.8192
    tan 215°—≈ 0.7002
    cot 215°—≈ 1.4281

    Reference angle: tan 35° ≈ 0.7002

    See Also

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    https://calculat.io/en/number/trigonometry/tan--215Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--215">Tan 215 Degrees: Tangent of 215° on the Unit Circle</a>Copy
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    Tan 215 Degrees: Tangent of 215° on the Unit Circle. tan 215° ≈ 0.7002. The tangent is the ratio y/x of the point at 215° on the unit circle; 215° reduces to 35°.
    https://calculat.io/en/number/trigonometry/tan--215/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    200°≈ 0.3640
    210°√3/3
    211°≈ 0.6009
    215°≈ 0.7002
    216°√(5 − 2√5)
    225°1
    227°≈ 1.0724
    Recalculate with different values ↑

    FAQ

    What is tan 215°?

    tan 215° ≈ 0.7002

    Why does tan 215° 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°. 215° is not, so no such exact form exists; the value is used as a decimal: tan 215° ≈ 0.7002.

    Why does a calculator show 4.9561 for tan 215?

    The calculator is in radian mode (RAD): it takes tan 215 as the tangent of 215 radians, tan 215 rad ≈ 4.9561. Switch it to degrees (DEG): tan 215° ≈ 0.7002. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also