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Why do we write radian measures with a π rather than just give the decimal equivalent? (for example, why not use 1.88 rad instead of 3π/5 rad?)

Thx

  • math -

    because there is an exact relationship between π and the circle, thus its angles

    e.g. tan 45° = tan π/4 or tan .7854 ( I had to round it off)
    set your calculator to radians
    tan π.4 = 1
    tan .7854 = 1.000003673

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