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Find sec θ and csc θ. If tan θ =3 and cos θ>0. Please helpp, i don't get identities

  • Math -

    cosØ>0 tells me Ø is in either I or IV
    tanØ = 3 tells me Ø is in I or III
    So Ø must be in the 1st quadrant

    tanØ = 3 = 3/1 = opposite/adjacent
    so construct your triangle with those sides,
    easy to see that the hypotenuse is √10

    so cosØ = 1/√10 ----> secØ = √10
    and sinØ = 3/√10 ---> cscØ = √10/3

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