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(sec^2x-1)(csc^2x-1)=1 prove the following identity

ive been stuck on this for hours please help

  • trig -

    sec^2(x)-1 = tan^2(x)
    csc^2(x)-1 = cot^2(x)

    since cot = 1/tan, it follows immediately

  • trig -

    A math tutor told me to FOIL it. This is just a hint, or starting point because I don't know for sure.

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