the following question answer the one will be marketed as brainliest
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Step-by-step explanation:
Taking theta as x
(1+tanx+secx)(1+cotx-cosecx)
=(1+(sinx/cosx)+(1/cosx))(1+(cosx/sinx)-(1/sinx))
=(sinx+cosx+1)(sinx+cosx-1)/sinx cosx
=((sinx+cosx)^2-1)/sinx cosx
=(sin^x+cos^2x+2sinxcosx-1)/sinxcosx
=(1+2sinxcosx-1)/sinxcosx
2sinxcosx/sinxcosx
=2
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