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Prove that (cos9^(@)+sin9^(@))/(cos9^(@)...

Prove that `(cos9^(@)+sin9^(@))/(cos9^(@)-sin9^(@))=cot36^(@)`

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cos 9^(@) - sin 9^(@)=

(sin9^(@)-cos9^(@))/(sin48^(@)sin 12^(@))=

A=(cos9^(@)-sin9^(@))/(cos9^(@)+sin 9^(@)), B=(cos21^(@)+sin21^(@))/(cos21^(@)-sin21^(@)) and C=tan 20^(@)+tan 40^(@)+sqrt(3)tan20^(@)tan40^(@) then descending order is

sin21^(@)cos9^(@)-cos84^(@) cos6^(@)=

A =(cos 9^(@) - sin 9^(@))/(cos 9^(@) + sin 9^(@)) , B = (cos 21^(@) + sin 21^(@))/(cos21^(@) -sin21^(@)) and C= tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@) tan40^(@) then descending order is:

Prove that sin21^(@)cos9^(@)-cos84^(@)cos6^(@)=1/4 .

sin 21^(@) cos 9^(@) - cos 84^(@) cos 6^(@)=

int(1)/(4cos^(2)x+9 sin^(2)x)dx=