sin theta + cos theta=m and sec theta -cosec theta =n then show n(m sqare-1)=2m
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sin@+cos@=m
or (sin@+cos@)^2= m^2
or sin^2@+cos^2@+2sin@cos@= m^2
or 2 sin@cos@= m^2-1..... (1)
now
here in ur question their will be positive sign
sec@+cosec@=n
or (1/cos@)+(1/sin@)=n
or (sin@+cos@)/cos@sin@= n
or sin@+cos@=ncos@sin@
or m= n*(m^2-1)/2... (from (1))
ie 2m= n (m^2-1)...
or (sin@+cos@)^2= m^2
or sin^2@+cos^2@+2sin@cos@= m^2
or 2 sin@cos@= m^2-1..... (1)
now
here in ur question their will be positive sign
sec@+cosec@=n
or (1/cos@)+(1/sin@)=n
or (sin@+cos@)/cos@sin@= n
or sin@+cos@=ncos@sin@
or m= n*(m^2-1)/2... (from (1))
ie 2m= n (m^2-1)...
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