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Prove the following (tan A)/(1+secA)-(...

Prove the following
`(tan A)/(1+secA)-(tan A)/(1-secA)=2"cosec" A`

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(tanA)/(1+secA) - (tanA)/(1-secA) = 2cosecA

i) Prove that: [(1-sinA)/(1-secA)-(1+sinA)/(1+secA)]=2cotA(cosA-"cosec"A)

(1+cotA-cosecA)(1+tanA+secA)=2

Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

Prove that (1+secA+tanA)(1-cosecA+cotA)=2

secA(1-sinA)(secA+tanA)=1

Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A