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\[\huge\tan 7^{0}30 '=\sqrt{6}+\sqrt{2}-\sqrt{3}-2\]

what is this \['\] notation

tan(7.5) =tan(15/2)
tan(15)=tan(30/2)
tan(30)=1/root3

This should help
tanx=2tan(x/2) /(1-tan^2(x/2) )
So, |dw:1358674326162:dw|