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math

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how can the value of tan30 be found?

  • math -

    ou need to know first of all that tanx=sinx/cosx

    You will also need to know that:
    sin0=0
    sin30=1/2
    sin45=sqrt[2]/2
    sin60=sqrt[3]/2
    sin 90 =1

    and
    cos0=1
    cos30=sqrt[3]/2
    cos 45=sqrt[2]/2
    cos60=1/2
    cos90=0

    so you can recognize that 1/sqrt[3] corresponds to tan30, since tan30=sin30/cos30
    =1/2/sqrt[3]/2 = 1/sqrt[3]

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