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    Tan 70 Degrees

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

    What is tan 70°?

    Answer

    tan 70° ≈
    2.7475

    Angle in radians: 70° = 7π/18. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 70° can't be written with square roots: 70° is not a multiple of 3°.

    tan 70° = sin 70° / cos 70° ≈ 2.7475

    xyOP

    P(cos 70°, sin 70°) ≈ (0.3420, 0.9397)

    T(1, tan 70°) ≈ (1, 2.7475) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 70°
    FunctionExact valueDecimal
    sin 70°—≈ 0.9397
    cos 70°—≈ 0.3420
    tan 70°—≈ 2.7475
    cot 70°—≈ 0.3640

    See Also

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    https://calculat.io/en/number/trigonometry/tan--70Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--70">Tan 70 Degrees: Tangent of 70° on the Unit Circle</a>Copy
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    Tan 70 Degrees: Tangent of 70° on the Unit Circle. tan 70° ≈ 2.7475. The tangent is the ratio y/x of the point at 70° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--70/generated.jpgCopy

    FAQ

    What is tan 70°?

    tan 70° ≈ 2.7475

    Why does tan 70° 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°. 70° is not, so no such exact form exists; the value is used as a decimal: tan 70° ≈ 2.7475.

    Why does a calculator show 1.2220 for tan 70?

    The calculator is in radian mode (RAD): it takes tan 70 as the tangent of 70 radians, tan 70 rad ≈ 1.2220. Switch it to degrees (DEG): tan 70° ≈ 2.7475. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.