The value of ((1 + sin (2π)/9 + i cos (2π)/9)/(1 + sin (2π)/9 - i cos (2π)/9))³ is

Complex Numbers and Quadratic Equations: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Evening shift · Q3245

JEE Main 202324 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The value of

{\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}

JEE Main 2023 · 24 Jan, Evening shift · Q3245

JEE Main 202324 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The value of

{\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}