Question

prove that sintheeta /1 +costheeta+1+costheeta/sin theeta=2 cosectheeta
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Answer 1

Answer:

sin theeta/1+cos theeta. +1+cos theeta/sin theeta

(sin^2 theeta+1+2cos theeta+ cos^2theeta)/sin theeta (1+cos theeta)

=(1+1+2 cos theeta)/sin theeta (1+cos theeta)

=2(1+cos theeta)/sin theeta (1+cos theeta)

=2/sin theeta

=2cosec theeta (proved(