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Prove that sinA/secA + tanA - 1 + cosA/cosecA + cotA - 1 = 1

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sinA/secA + tanA - 1 + cosA/cosecA + cotA - 1 = 1
Show that sinA/(secA+tanA-1) + cosA/(cosecA+cotA-1) = 1
tana/(1+tan2a)2+cota/(1+cot2a)2=sina cosa
show that: sina/(seca+tana-1) + cosa/(coseca+cota-1) = 1.
cot2a(seca-1)/1+sina=sec2a(1-sina/1+seca)
tana+sina/tana-sina=seca+1/seca-1
cosa coseca-sina seca/cosa+sina=coseca-seca
Show that sinA/(secA+tanA-1) + cosA/(cosecA+cotA-1) = 1
tana/(1+tan2a)2+cota/(1+cot2a)2=sina cosa
show that: sina/(seca+tana-1) + cosa/(coseca+cota-1) = 1.
cot2a(seca-1)/1+sina=sec2a(1-sina/1+seca)
tana+sina/tana-sina=seca+1/seca-1
cosa coseca-sina seca/cosa+sina=coseca-seca