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pre cal

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can someone please show me how to verify this identity?

(sec x/csc x minus cot x) minus (sec x/csc x + cot x)= 2 csc x

  • pre cal -

    Is it

    (sec x/(csc x - cot x) - (sec x/(csc x + cot x))= 2 csc x or
    sec x/csc x - cot x - sec x/csc x + cot x= 2 csc x

    The way you typed it, according to order of operation, it would be that last one, but that is not an identity.

    so
    (sec x/(csc x - cot x) - (sec x/(csc x + cot x))= 2 csc x

    LS = (secxcscx + secxcotx - secxcscx + secxcotx)/(csc^2x - cot^2x)
    = 2secxcotx/(csc^2x - (csc^2x - 1))
    = 2(1/cosx)(cosx/sinx)
    = 2/sinx
    = 2cscx
    = RS

  • pre cal -

    Need some help with this: find all solutions of cot^2 x=3 in the interval [0,2pi)

  • pre cal -

    Verify the Identity for (1-tanx)^2 = sec^2x-2tanx

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