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    Cot 45 Degrees

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

    What is cot 45°?

    Answer

    cot 45° =
    1

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

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

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

    cot 45° = 1/1 = 1

    xyOP

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

    C(cot 45°, 1) = (1, 1) — where line OP meets the line y = 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/cot--45Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--45">Cot 45 Degrees: Cotangent of 45° on the Unit Circle</a>Copy
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    Cot 45 Degrees: Cotangent of 45° on the Unit Circle. cot 45° = 1. The cotangent is the ratio x/y of the point at 45° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--45/generated.jpgCopy

    Cotangent of nearby angles

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

    FAQ

    What is cot 45°?

    cot 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: cot 45° = 1.

    Why does a calculator show 0.6174 for cot 45?

    The calculator is in radian mode (RAD): it takes cot 45 as the cotangent of 45 radians, cot 45 rad ≈ 0.6174. Switch it to degrees (DEG): cot 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