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## Answers

=root of [4n^4+4(nm)^2+m^4+4m^3n+8mn^3+4(nm)^2]

=root of [(m^2+2mn+2n^2)^2] as (a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca

=m^2+2mn+2n^2=hypo

therfor cosec thetha =hypo/opposite side=m^2+2mn+2n^2/m^2+2mn

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=root of [4n^4+4(nm)^2+m^4+4m^3n+8mn^3+4(nm)^2]

=root of [(m^2+2mn+2n^2)^2] as (a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca

=m^2+2mn+2n^2=hypo

therfor cosec thetha =hypo/opposite side=m^2+2mn+2n^2/m^2+2mn