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(secA-cosecA)(1+tanA+cotA)= tanAsecA-cotAcosecA

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(seca-coseca)(1+tana+cota)
= seca - coseca + seca*tana - coseca*tana + seca*cota - coseca*cota

= seca - coseca + seca*tana - seca + coseca - coseca*cota

= secatana - cosecacota
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