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Complex Numbers question

2021 · 27 Jul · Shift 2 · Q38

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JEE Main
Mathematics
Complex Numbers
2021 · 27 Jul · Shift 2 · Q38

Complex Numbers question

2021 · 27 Jul · Shift 2 · Q38

JEE MainMathematicsComplex NumbersNumerical+4 / −1

If the real part of the complex number

z = {{3 + 2i\cos \theta } \over {1 - 3i\cos \theta }},\theta \in \left( {0,{\pi \over 2}} \right)

is zero, then the value of sin23

\theta

+ cos2

\theta

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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