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    Tan 145 Degrees

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

    What is tan 145°?

    Answer

    tan 145° ≈
    −0.7002

    Angle in radians: 145° = 29π/36. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 145° can't be written with square roots: 145° is not a multiple of 3°.

    tan 145° = tan(180° − 35°) = −tan 35° ≈ −0.7002

    tan 145° = sin 145° / cos 145° ≈ −0.7002

    xyOP

    P(cos 145°, sin 145°) ≈ (−0.8192, 0.5736)

    T(1, tan 145°) ≈ (1, −0.7002) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 145°
    FunctionExact valueDecimal
    sin 145°—≈ 0.5736
    cos 145°—≈ −0.8192
    tan 145°—≈ −0.7002
    cot 145°—≈ −1.4281

    Reference angle: tan 35° ≈ 0.7002

    See Also

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    https://calculat.io/en/number/trigonometry/tan--145Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--145">Tan 145 Degrees: Tangent of 145° on the Unit Circle</a>Copy
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    Tan 145 Degrees: Tangent of 145° on the Unit Circle. tan 145° ≈ −0.7002. The tangent is the ratio y/x of the point at 145° on the unit circle; 145° reduces to 35°.
    https://calculat.io/en/number/trigonometry/tan--145/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    140°≈ −0.8391
    142°≈ −0.7813
    144°−√(5 − 2√5)
    145°≈ −0.7002
    150°−√3/3
    159°≈ −0.3839
    160°≈ −0.3640
    Recalculate with different values ↑

    FAQ

    What is tan 145°?

    tan 145° ≈ −0.7002

    Why does tan 145° 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°. 145° is not, so no such exact form exists; the value is used as a decimal: tan 145° ≈ −0.7002.

    Why does a calculator show 0.5292 for tan 145?

    The calculator is in radian mode (RAD): it takes tan 145 as the tangent of 145 radians, tan 145 rad ≈ 0.5292. Switch it to degrees (DEG): tan 145° ≈ −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