JEE MAIN - Mathematics Hindi (2020 - 2nd September Morning Slot - No. 13)
का मान है :
$${\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\cos {{2\pi } \over 9}}}} \right)^3}$$
$${\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\cos {{2\pi } \over 9}}}} \right)^3}$$
$${1 \over 2}\left( {\sqrt 3 - i} \right)$$
-$${1 \over 2}\left( {\sqrt 3 - i} \right)$$
$$ - {1 \over 2}\left( {1 - i\sqrt 3 } \right)$$
$${1 \over 2}\left( {1 - i\sqrt 3 } \right)$$
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