(tan thetha)/(sec thetha - 1) + (tan thetha)/(sec thetha +1) = 2cosec thetha
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sec thetha (1-sin thetha)(sec thetha+tan thetha)
=(sec thetha -sec thetha sin theta)(sec thetha+tan thetha)
=(sec thetha-sin thetha/cos theta)(sec thetha+tan
thetha)
=(sec thetha-tan theta)(sec thetha+tan thetha)
=(sec thetha)^2-(tan thetha)^2
=1
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