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Mathematics 7 Online
OpenStudy (anonymous):

If x=secA-tanA find a simple expression for x-1/x in terms of A

OpenStudy (anonymous):

secA-tanA - 1/secA-tanA

OpenStudy (cwrw238):

= (secA - tanA)(secA - tanA) - 1 -------------------------- secA - tanA = sec^2A - 2secAtanA + tan^2A - 1 ----------------------------- secA - tanA = 1 + tan^2A + tan^2A - 2secAtanA - 1 -------------------------------- secA - tanA = 2tan^2A - 2secAtanA ------------------- secA - tanA = -2tanA( secA - tanA) ------------------ secA - tanA = - 2tanA

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