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    Tan 97 Degrees

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

    What is tan 97°?

    Answer

    tan 97° ≈
    −8.1443

    Angle in radians: 97° = 97π/180. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 97° can't be written with square roots: 97° is not a multiple of 3°.

    tan 97° = tan(180° − 83°) = −tan 83° ≈ −8.1443

    tan 97° = sin 97° / cos 97° ≈ −8.1443

    xyOP

    P(cos 97°, sin 97°) ≈ (−0.1219, 0.9925)

    T(1, tan 97°) ≈ (1, −8.1443) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed); T is beyond the drawing, the arrow points to it.

    All four functions of 97°
    FunctionExact valueDecimal
    sin 97°—≈ 0.9925
    cos 97°—≈ −0.1219
    tan 97°—≈ −8.1443
    cot 97°—≈ −0.1228

    Reference angle: tan 83° ≈ 8.1443

    See Also

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    https://calculat.io/en/number/trigonometry/tan--97Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--97">Tan 97 Degrees: Tangent of 97° on the Unit Circle</a>Copy
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    Tan 97 Degrees: Tangent of 97° on the Unit Circle. tan 97° ≈ −8.1443. The tangent is the ratio y/x of the point at 97° on the unit circle; 97° reduces to 83°.
    https://calculat.io/en/number/trigonometry/tan--97/generated.jpgCopy

    FAQ

    What is tan 97°?

    tan 97° ≈ −8.1443

    Why does tan 97° 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°. 97° is not, so no such exact form exists; the value is used as a decimal: tan 97° ≈ −8.1443.

    Why does a calculator show −0.4103 for tan 97?

    The calculator is in radian mode (RAD): it takes tan 97 as the tangent of 97 radians, tan 97 rad ≈ −0.4103. Switch it to degrees (DEG): tan 97° ≈ −8.1443. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.