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    Tan 45 Degrees

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

    What is tan 45°?

    Answer

    tan 45° =
    1

    Angle in radians: 45° = π/4. The point of the angle is in quadrant I, where tangent is positive.

    tan 45° = sin 45° / cos 45° = (√2/2) / (√2/2) = 1

    An isosceles right triangle with legs 1: the hypotenuse is √2.

    tan 45° = 1/1 = 1

    xyOP

    P(cos 45°, sin 45°) ≈ (0.7071, 0.7071)

    T(1, tan 45°) = (1, 1) — where line OP meets the line x = 1.

    All four functions of 45°
    FunctionExact valueDecimal
    sin 45°√2/2≈ 0.7071
    cos 45°√2/2≈ 0.7071
    tan 45°11
    cot 45°11

    See Also

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    https://calculat.io/en/number/trigonometry/tan--45Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--45">Tan 45 Degrees: Tangent of 45° on the Unit Circle</a>Copy
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    Tan 45 Degrees: Tangent of 45° on the Unit Circle. tan 45° = 1. The tangent is the ratio y/x of the point at 45° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--45/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    42°≈ 0.9004
    43°≈ 0.9325
    44°≈ 0.9657
    45°1
    46°≈ 1.0355
    47°≈ 1.0724
    48°≈ 1.1106
    Recalculate with different values ↑

    FAQ

    What is tan 45°?

    tan 45° = 1

    How to remember sin 30°, sin 45° and sin 60°?

    Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: tan 45° = 1.

    Why does a calculator show 1.6198 for tan 45?

    The calculator is in radian mode (RAD): it takes tan 45 as the tangent of 45 radians, tan 45 rad ≈ 1.6198. Switch it to degrees (DEG): tan 45° = 1. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also