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    Tan 175 Degrees

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

    What is tan 175°?

    Answer

    tan 175° ≈
    −0.0875

    Angle in radians: 175° = 35π/36. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 175° can't be written with square roots: 175° is not a multiple of 3°.

    tan 175° = tan(180° − 5°) = −tan 5° ≈ −0.0875

    tan 175° = sin 175° / cos 175° ≈ −0.0875

    xyOP

    P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

    T(1, tan 175°) ≈ (1, −0.0875) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 175°
    FunctionExact valueDecimal
    sin 175°—≈ 0.0872
    cos 175°—≈ −0.9962
    tan 175°—≈ −0.0875
    cot 175°—≈ −11.4301

    Reference angle: tan 5° ≈ 0.0875

    See Also

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    https://calculat.io/en/number/trigonometry/tan--175Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--175">Tan 175 Degrees: Tangent of 175° on the Unit Circle</a>Copy
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    Tan 175 Degrees: Tangent of 175° on the Unit Circle. tan 175° ≈ −0.0875. The tangent is the ratio y/x of the point at 175° on the unit circle; 175° reduces to 5°.
    https://calculat.io/en/number/trigonometry/tan--175/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    164°≈ −0.2867
    165°√3 − 2
    167°≈ −0.2309
    175°≈ −0.0875
    179°≈ −0.0175
    180°0
    195°2 − √3
    Recalculate with different values ↑

    FAQ

    What is tan 175°?

    tan 175° ≈ −0.0875

    Why does tan 175° 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°. 175° is not, so no such exact form exists; the value is used as a decimal: tan 175° ≈ −0.0875.

    Why does a calculator show −1.3386 for tan 175?

    The calculator is in radian mode (RAD): it takes tan 175 as the tangent of 175 radians, tan 175 rad ≈ −1.3386. Switch it to degrees (DEG): tan 175° ≈ −0.0875. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also