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Choose the correct option and justify your choice : (i) `(2tan30o)/(1+tan^2 30o)=` `(a)" "s in" "60o (b)" "cos" "60o (c)" "t a n" "60o (d)" "s in" "30

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Choose the correct option and justify your choice : (i) `(2tan30o)/(1+tan^2 30o)=` `(a)" "s in" "60o (b)" "cos" "60o (c)" "t a n" "60o (d)" "s in" "30o` (ii) `(1-tan^2 45o)/(1+tan^2 45o)=` `(a)" "t a
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`(2tan30^(@))/(1+tan^(2)30^(@))= (2xx1/(sqrt(3)))/(1+((1)/(sqrt(3)))^(2))=(2/(sqrt(3)))/(1+(1)/(3))=(2/(sqrt(3)))/(4/(3))=(2)/(sqrt(3))xx(3)/(4)=(sqrt3)/(2)`
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