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Choose the correct option and justify your choice : (i) `(2tan30^@)/(1+tan^2 30^@)` `(a) sin 60^@` `(b) cos 60^@` `(c) t a n 60^@``(d) sin 30^@`

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Choose the correct option and justify your choice :
(i) `(2tan30^@)/(1+tan^2 30^@)`
`(a) sin 60^@` `(b) cos 60^@` `(c) t a n 60^@``(d) sin 30^@`
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we know, `tan30^o=1/sqrt3`
=`(2(1/sqrt3))/(1+(1/sqrt3))`
=`(2/sqrt3)/(4/3)`
=`sqrt3/2`
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