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prove that 1/(secA-tanA)-1/(cosA)=1/(co...

prove that `1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)`

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`L.H.S. = 1/(secA-tanA) - 1/cosA`
`=1/(1/cosA-sinA/cosA) - 1/cosA`
`=(cosA)/(1-sinA) - 1/cosA`
`=(cos^2A-1+sinA)/(cosA(1-sinA))`
`=(1-sin^2A-1+sinA)/(cosA(1-sinA))`
`=(sinA(1-sinA))/(cosA(1-sinA))`
`= tanA`
`R.H.S. = 1/cosA - 1/(secA+tanA)` ...
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