Math

Given that cosz=BL find the value of
cotz-cosecz/secz+tanz

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  1. I'll just use x=BL to make things easier to read
    cosz = x
    sinz = √(1-x^2)

    (cotz-cscz)/(tanz+secz) = [(cosz-1)/sinz]/[(sinz+1)/cosz]
    = [cosz(cosz-1)]/[sinz(sinz+1)]
    = [x(x-1)]/[√(1-x^2)(√(1-x^2)+1)]
    = (x^2-x)/(1-x^2+√(1-x^2))
    Massage that as you will

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