cosec a- sin a =m and sec a- cos a = n then eliminate a =?
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coseca-sina=m
=>1/sina-sina=m
=>1-sin^2a=msina
=>cos^2a=m sina
now,
seca-cosa=n
=>1-cos^2a=ncosa
=>sin^2a=ncosa
thus cos^2a/sin^2a=msina/ncosa
=>cot^2a=(m/n)tana
=>m/n=cot^3a
=>a=cot^-1((m/n)^(1/3))
=>1/sina-sina=m
=>1-sin^2a=msina
=>cos^2a=m sina
now,
seca-cosa=n
=>1-cos^2a=ncosa
=>sin^2a=ncosa
thus cos^2a/sin^2a=msina/ncosa
=>cot^2a=(m/n)tana
=>m/n=cot^3a
=>a=cot^-1((m/n)^(1/3))
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