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Trigonometry

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How do I find all solutions to:

tanx+3cotx=4?

The answer choices are:
a.) x=arctan3+nPi
b.) x=arccot3+nPi

  • Trigonometry - ,

    actually there are other answers ...

    tanx + 3cotx = 4
    tanx + 3/tanx = 4

    tan^2x + 3 = 4tanx
    tan^2x - 4tanx + 3 = 0
    (tanx - 1)(tanx - 3) = 0

    x = arctan 1 + npi or x = arctan3 + npi

  • Trigonometry - ,

    Thanks! :D

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