college trigonometry

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verify identity:

(tanx-cotx)/sinxcosx=sec^2x csc^2x

  • college trigonometry -

    LS = (sinx/cosx - cosx/sinx)/(sinxcosx)
    = [(sin^2x - cos^2x)/(sinxcosx)]/sinxcosx
    = (sin^2x - cos^2x)/(sin^2x cos^2x)
    =sin^2x/(sin^2xcos^2x) - cos^2x/(sin^2xcos^2x)
    = 1/cos^2x - 1/sin^2x
    = sec^2x - csc^2x
    ≠ RS

    you have a typo, your right side should have been

    sec^2x - csc^2x

  • college trigonometry -

    what is the function of tan 7pi

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